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Finding the Fourth Proportional to 14,085.35, 21,127.77 and 5,654

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Solution

The fourth proportional to 14,085.35, 21,127.77 and 5,654 is: 8,480.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085.35 : 21,127.77 = 5,654 : x
  2. Step 2: Convert to fraction form
    14,085.35/21,127.77 = 5,654/x
  3. Step 3: Cross multiply
    14,085.35x = 21,127.77 × 5,654
  4. Step 4: Simplify right side
    14,085.35x = 119,456,411.58
  5. Step 5: Solve for x
    x = 119,456,411.58/14,085.35
  6. Step 6: Final answer
    x = 8,480.90

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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.