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Finding the Fourth Proportional to 17,642.70, 24,346.17 and 9,684.45

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Solution

The fourth proportional to 17,642.70, 24,346.17 and 9,684.45 is: 13,364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.70 : 24,346.17 = 9,684.45 : x
  2. Step 2: Convert to fraction form
    17,642.70/24,346.17 = 9,684.45/x
  3. Step 3: Cross multiply
    17,642.70x = 24,346.17 × 9,684.45
  4. Step 4: Simplify right side
    17,642.70x = 235,779,266.06
  5. Step 5: Solve for x
    x = 235,779,266.06/17,642.70
  6. Step 6: Final answer
    x = 13,364.13

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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.