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Finding the Fourth Proportional to 24,053.13, 36,071.06 and 9,254.61

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Solution

The fourth proportional to 24,053.13, 36,071.06 and 9,254.61 is: 13,878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,053.13 : 36,071.06 = 9,254.61 : x
  2. Step 2: Convert to fraction form
    24,053.13/36,071.06 = 9,254.61/x
  3. Step 3: Cross multiply
    24,053.13x = 36,071.06 × 9,254.61
  4. Step 4: Simplify right side
    24,053.13x = 333,823,546.31
  5. Step 5: Solve for x
    x = 333,823,546.31/24,053.13
  6. Step 6: Final answer
    x = 13,878.59

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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.