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Finding the Fourth Proportional to 15,686.64, 23,445.12 and 14,441.28

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Solution

The fourth proportional to 15,686.64, 23,445.12 and 14,441.28 is: 21,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.64 : 23,445.12 = 14,441.28 : x
  2. Step 2: Convert to fraction form
    15,686.64/23,445.12 = 14,441.28/x
  3. Step 3: Cross multiply
    15,686.64x = 23,445.12 × 14,441.28
  4. Step 4: Simplify right side
    15,686.64x = 338,577,542.55
  5. Step 5: Solve for x
    x = 338,577,542.55/15,686.64
  6. Step 6: Final answer
    x = 21,583.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.