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Finding the Fourth Proportional to 26,428.40, 39,646.20 and 9,784.40

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Solution

The fourth proportional to 26,428.40, 39,646.20 and 9,784.40 is: 14,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,428.40 : 39,646.20 = 9,784.40 : x
  2. Step 2: Convert to fraction form
    26,428.40/39,646.20 = 9,784.40/x
  3. Step 3: Cross multiply
    26,428.40x = 39,646.20 × 9,784.40
  4. Step 4: Simplify right side
    26,428.40x = 387,914,279.28
  5. Step 5: Solve for x
    x = 387,914,279.28/26,428.40
  6. Step 6: Final answer
    x = 14,677.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.