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Finding the Fourth Proportional to 25,357.35, 38,024.93 and 12,034.16

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Solution

The fourth proportional to 25,357.35, 38,024.93 and 12,034.16 is: 18,045.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,357.35 : 38,024.93 = 12,034.16 : x
  2. Step 2: Convert to fraction form
    25,357.35/38,024.93 = 12,034.16/x
  3. Step 3: Cross multiply
    25,357.35x = 38,024.93 × 12,034.16
  4. Step 4: Simplify right side
    25,357.35x = 457,597,841.31
  5. Step 5: Solve for x
    x = 457,597,841.31/25,357.35
  6. Step 6: Final answer
    x = 18,045.96

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Why These Related Problems?

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