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Finding the Fourth Proportional to 25,178.64, 34,742.64 and 14,566.20

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Solution

The fourth proportional to 25,178.64, 34,742.64 and 14,566.20 is: 20,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,178.64 : 34,742.64 = 14,566.20 : x
  2. Step 2: Convert to fraction form
    25,178.64/34,742.64 = 14,566.20/x
  3. Step 3: Cross multiply
    25,178.64x = 34,742.64 × 14,566.20
  4. Step 4: Simplify right side
    25,178.64x = 506,068,242.77
  5. Step 5: Solve for x
    x = 506,068,242.77/25,178.64
  6. Step 6: Final answer
    x = 20,099.11

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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.