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Finding the Fourth Proportional to 15,429.66, 21,292.78 and 9,056.31

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Solution

The fourth proportional to 15,429.66, 21,292.78 and 9,056.31 is: 12,497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,429.66 : 21,292.78 = 9,056.31 : x
  2. Step 2: Convert to fraction form
    15,429.66/21,292.78 = 9,056.31/x
  3. Step 3: Cross multiply
    15,429.66x = 21,292.78 × 9,056.31
  4. Step 4: Simplify right side
    15,429.66x = 192,834,016.44
  5. Step 5: Solve for x
    x = 192,834,016.44/15,429.66
  6. Step 6: Final answer
    x = 12,497.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.