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Finding the Fourth Proportional to 23,312.16, 32,174.28 and 14,821.20

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Solution

The fourth proportional to 23,312.16, 32,174.28 and 14,821.20 is: 20,455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312.16 : 32,174.28 = 14,821.20 : x
  2. Step 2: Convert to fraction form
    23,312.16/32,174.28 = 14,821.20/x
  3. Step 3: Cross multiply
    23,312.16x = 32,174.28 × 14,821.20
  4. Step 4: Simplify right side
    23,312.16x = 476,861,438.74
  5. Step 5: Solve for x
    x = 476,861,438.74/23,312.16
  6. Step 6: Final answer
    x = 20,455.48

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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.