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Finding the Fourth Proportional to 21,417.60, 32,107.92 and 10,309

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Solution

The fourth proportional to 21,417.60, 32,107.92 and 10,309 is: 15,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,417.60 : 32,107.92 = 10,309 : x
  2. Step 2: Convert to fraction form
    21,417.60/32,107.92 = 10,309/x
  3. Step 3: Cross multiply
    21,417.60x = 32,107.92 × 10,309
  4. Step 4: Simplify right side
    21,417.60x = 331,000,547.28
  5. Step 5: Solve for x
    x = 331,000,547.28/21,417.60
  6. Step 6: Final answer
    x = 15,454.60

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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.