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Finding the Fourth Proportional to 25,332.49, 38,002.82 and 7,802.31

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Solution

The fourth proportional to 25,332.49, 38,002.82 and 7,802.31 is: 11,704.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,332.49 : 38,002.82 = 7,802.31 : x
  2. Step 2: Convert to fraction form
    25,332.49/38,002.82 = 7,802.31/x
  3. Step 3: Cross multiply
    25,332.49x = 38,002.82 × 7,802.31
  4. Step 4: Simplify right side
    25,332.49x = 296,509,743.50
  5. Step 5: Solve for x
    x = 296,509,743.50/25,332.49
  6. Step 6: Final answer
    x = 11,704.72

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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.