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Finding the Fourth Proportional to 17,643.80, 24,349.02 and 10,087.40

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Solution

The fourth proportional to 17,643.80, 24,349.02 and 10,087.40 is: 13,920.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.80 : 24,349.02 = 10,087.40 : x
  2. Step 2: Convert to fraction form
    17,643.80/24,349.02 = 10,087.40/x
  3. Step 3: Cross multiply
    17,643.80x = 24,349.02 × 10,087.40
  4. Step 4: Simplify right side
    17,643.80x = 245,618,304.35
  5. Step 5: Solve for x
    x = 245,618,304.35/17,643.80
  6. Step 6: Final answer
    x = 13,920.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.