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Finding the Fourth Proportional to 17,488.25, 24,133.08 and 9,530.30

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Solution

The fourth proportional to 17,488.25, 24,133.08 and 9,530.30 is: 13,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,488.25 : 24,133.08 = 9,530.30 : x
  2. Step 2: Convert to fraction form
    17,488.25/24,133.08 = 9,530.30/x
  3. Step 3: Cross multiply
    17,488.25x = 24,133.08 × 9,530.30
  4. Step 4: Simplify right side
    17,488.25x = 229,995,440.11
  5. Step 5: Solve for x
    x = 229,995,440.11/17,488.25
  6. Step 6: Final answer
    x = 13,151.43

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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.