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Finding the Fourth Proportional to 25,148.28, 34,704.84 and 13,818

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Solution

The fourth proportional to 25,148.28, 34,704.84 and 13,818 is: 19,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,148.28 : 34,704.84 = 13,818 : x
  2. Step 2: Convert to fraction form
    25,148.28/34,704.84 = 13,818/x
  3. Step 3: Cross multiply
    25,148.28x = 34,704.84 × 13,818
  4. Step 4: Simplify right side
    25,148.28x = 479,551,479.12
  5. Step 5: Solve for x
    x = 479,551,479.12/25,148.28
  6. Step 6: Final answer
    x = 19,068.96

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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.