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Finding the Fourth Proportional to 24,430.29, 33,711.95 and 13,820.61

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Solution

The fourth proportional to 24,430.29, 33,711.95 and 13,820.61 is: 19,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,430.29 : 33,711.95 = 13,820.61 : x
  2. Step 2: Convert to fraction form
    24,430.29/33,711.95 = 13,820.61/x
  3. Step 3: Cross multiply
    24,430.29x = 33,711.95 × 13,820.61
  4. Step 4: Simplify right side
    24,430.29x = 465,919,644.19
  5. Step 5: Solve for x
    x = 465,919,644.19/24,430.29
  6. Step 6: Final answer
    x = 19,071.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.