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Finding the Fourth Proportional to 25,129.76, 34,678.80 and 13,951.84

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Solution

The fourth proportional to 25,129.76, 34,678.80 and 13,951.84 is: 19,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,129.76 : 34,678.80 = 13,951.84 : x
  2. Step 2: Convert to fraction form
    25,129.76/34,678.80 = 13,951.84/x
  3. Step 3: Cross multiply
    25,129.76x = 34,678.80 × 13,951.84
  4. Step 4: Simplify right side
    25,129.76x = 483,833,068.99
  5. Step 5: Solve for x
    x = 483,833,068.99/25,129.76
  6. Step 6: Final answer
    x = 19,253.39

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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.