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Finding the Fourth Proportional to 25,424.01, 38,129.94 and 8,784.63

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Solution

The fourth proportional to 25,424.01, 38,129.94 and 8,784.63 is: 13,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,424.01 : 38,129.94 = 8,784.63 : x
  2. Step 2: Convert to fraction form
    25,424.01/38,129.94 = 8,784.63/x
  3. Step 3: Cross multiply
    25,424.01x = 38,129.94 × 8,784.63
  4. Step 4: Simplify right side
    25,424.01x = 334,957,414.82
  5. Step 5: Solve for x
    x = 334,957,414.82/25,424.01
  6. Step 6: Final answer
    x = 13,174.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.