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Finding the Fourth Proportional to 14,166.57, 21,253.95 and 5,402.16

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Solution

The fourth proportional to 14,166.57, 21,253.95 and 5,402.16 is: 8,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,166.57 : 21,253.95 = 5,402.16 : x
  2. Step 2: Convert to fraction form
    14,166.57/21,253.95 = 5,402.16/x
  3. Step 3: Cross multiply
    14,166.57x = 21,253.95 × 5,402.16
  4. Step 4: Simplify right side
    14,166.57x = 114,817,238.53
  5. Step 5: Solve for x
    x = 114,817,238.53/14,166.57
  6. Step 6: Final answer
    x = 8,104.80

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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.