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Finding the Fourth Proportional to 13,386.90, 20,061.15 and 9,849.30

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Solution

The fourth proportional to 13,386.90, 20,061.15 and 9,849.30 is: 14,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.90 : 20,061.15 = 9,849.30 : x
  2. Step 2: Convert to fraction form
    13,386.90/20,061.15 = 9,849.30/x
  3. Step 3: Cross multiply
    13,386.90x = 20,061.15 × 9,849.30
  4. Step 4: Simplify right side
    13,386.90x = 197,588,284.70
  5. Step 5: Solve for x
    x = 197,588,284.70/13,386.90
  6. Step 6: Final answer
    x = 14,759.82

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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.