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Finding the Fourth Proportional to 29,232.68, 43,853.59 and 9,506.61

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Solution

The fourth proportional to 29,232.68, 43,853.59 and 9,506.61 is: 14,261.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,232.68 : 43,853.59 = 9,506.61 : x
  2. Step 2: Convert to fraction form
    29,232.68/43,853.59 = 9,506.61/x
  3. Step 3: Cross multiply
    29,232.68x = 43,853.59 × 9,506.61
  4. Step 4: Simplify right side
    29,232.68x = 416,898,989.11
  5. Step 5: Solve for x
    x = 416,898,989.11/29,232.68
  6. Step 6: Final answer
    x = 14,261.40

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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.