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Finding the Fourth Proportional to 25,105.70, 34,645.91 and 13,776.16

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Solution

The fourth proportional to 25,105.70, 34,645.91 and 13,776.16 is: 19,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,105.70 : 34,645.91 = 13,776.16 : x
  2. Step 2: Convert to fraction form
    25,105.70/34,645.91 = 13,776.16/x
  3. Step 3: Cross multiply
    25,105.70x = 34,645.91 × 13,776.16
  4. Step 4: Simplify right side
    25,105.70x = 477,287,444.01
  5. Step 5: Solve for x
    x = 477,287,444.01/25,105.70
  6. Step 6: Final answer
    x = 19,011.12

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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.