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Finding the Fourth Proportional to 24,001.52, 36,009.20 and 7,364

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Solution

The fourth proportional to 24,001.52, 36,009.20 and 7,364 is: 11,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,001.52 : 36,009.20 = 7,364 : x
  2. Step 2: Convert to fraction form
    24,001.52/36,009.20 = 7,364/x
  3. Step 3: Cross multiply
    24,001.52x = 36,009.20 × 7,364
  4. Step 4: Simplify right side
    24,001.52x = 265,171,748.80
  5. Step 5: Solve for x
    x = 265,171,748.80/24,001.52
  6. Step 6: Final answer
    x = 11,048.12

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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.