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Finding the Fourth Proportional to 15,646.13, 21,591.65 and 9,358.50

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Solution

The fourth proportional to 15,646.13, 21,591.65 and 9,358.50 is: 12,914.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.13 : 21,591.65 = 9,358.50 : x
  2. Step 2: Convert to fraction form
    15,646.13/21,591.65 = 9,358.50/x
  3. Step 3: Cross multiply
    15,646.13x = 21,591.65 × 9,358.50
  4. Step 4: Simplify right side
    15,646.13x = 202,065,456.53
  5. Step 5: Solve for x
    x = 202,065,456.53/15,646.13
  6. Step 6: Final answer
    x = 12,914.72

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