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Finding the Fourth Proportional to 23,312.64, 32,171.52 and 13,376

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Solution

The fourth proportional to 23,312.64, 32,171.52 and 13,376 is: 18,458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312.64 : 32,171.52 = 13,376 : x
  2. Step 2: Convert to fraction form
    23,312.64/32,171.52 = 13,376/x
  3. Step 3: Cross multiply
    23,312.64x = 32,171.52 × 13,376
  4. Step 4: Simplify right side
    23,312.64x = 430,326,251.52
  5. Step 5: Solve for x
    x = 430,326,251.52/23,312.64
  6. Step 6: Final answer
    x = 18,458.92

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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.