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Finding the Fourth Proportional to 25,088.70, 34,620.36 and 13,758

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Solution

The fourth proportional to 25,088.70, 34,620.36 and 13,758 is: 18,984.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,088.70 : 34,620.36 = 13,758 : x
  2. Step 2: Convert to fraction form
    25,088.70/34,620.36 = 13,758/x
  3. Step 3: Cross multiply
    25,088.70x = 34,620.36 × 13,758
  4. Step 4: Simplify right side
    25,088.70x = 476,306,912.88
  5. Step 5: Solve for x
    x = 476,306,912.88/25,088.70
  6. Step 6: Final answer
    x = 18,984.92

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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.