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Finding the Fourth Proportional to 29,712.48, 44,569.32 and 9,721.98

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Solution

The fourth proportional to 29,712.48, 44,569.32 and 9,721.98 is: 14,583.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,712.48 : 44,569.32 = 9,721.98 : x
  2. Step 2: Convert to fraction form
    29,712.48/44,569.32 = 9,721.98/x
  3. Step 3: Cross multiply
    29,712.48x = 44,569.32 × 9,721.98
  4. Step 4: Simplify right side
    29,712.48x = 433,302,037.65
  5. Step 5: Solve for x
    x = 433,302,037.65/29,712.48
  6. Step 6: Final answer
    x = 14,583.17

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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.