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Finding the Fourth Proportional to 23,484.30, 32,407.46 and 14,052.30

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Solution

The fourth proportional to 23,484.30, 32,407.46 and 14,052.30 is: 19,391.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,484.30 : 32,407.46 = 14,052.30 : x
  2. Step 2: Convert to fraction form
    23,484.30/32,407.46 = 14,052.30/x
  3. Step 3: Cross multiply
    23,484.30x = 32,407.46 × 14,052.30
  4. Step 4: Simplify right side
    23,484.30x = 455,399,350.16
  5. Step 5: Solve for x
    x = 455,399,350.16/23,484.30
  6. Step 6: Final answer
    x = 19,391.65

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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.