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Finding the Fourth Proportional to 25,109.01, 34,652.59 and 13,780.70

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Solution

The fourth proportional to 25,109.01, 34,652.59 and 13,780.70 is: 19,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,109.01 : 34,652.59 = 13,780.70 : x
  2. Step 2: Convert to fraction form
    25,109.01/34,652.59 = 13,780.70/x
  3. Step 3: Cross multiply
    25,109.01x = 34,652.59 × 13,780.70
  4. Step 4: Simplify right side
    25,109.01x = 477,536,860.38
  5. Step 5: Solve for x
    x = 477,536,860.38/25,109.01
  6. Step 6: Final answer
    x = 19,018.54

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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.