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Finding the Fourth Proportional to 25,355, 34,991.52 and 14,177

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Solution

The fourth proportional to 25,355, 34,991.52 and 14,177 is: 19,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,355 : 34,991.52 = 14,177 : x
  2. Step 2: Convert to fraction form
    25,355/34,991.52 = 14,177/x
  3. Step 3: Cross multiply
    25,355x = 34,991.52 × 14,177
  4. Step 4: Simplify right side
    25,355x = 496,074,779.04
  5. Step 5: Solve for x
    x = 496,074,779.04/25,355
  6. Step 6: Final answer
    x = 19,565.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.