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Finding the Fourth Proportional to 14,534.08, 21,810 and 9,617.92

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Solution

The fourth proportional to 14,534.08, 21,810 and 9,617.92 is: 14,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.08 : 21,810 = 9,617.92 : x
  2. Step 2: Convert to fraction form
    14,534.08/21,810 = 9,617.92/x
  3. Step 3: Cross multiply
    14,534.08x = 21,810 × 9,617.92
  4. Step 4: Simplify right side
    14,534.08x = 209,766,835.20
  5. Step 5: Solve for x
    x = 209,766,835.20/14,534.08
  6. Step 6: Final answer
    x = 14,432.76

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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.