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Finding the Fourth Proportional to 24,070.74, 33,227.74 and 14,642.58

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Solution

The fourth proportional to 24,070.74, 33,227.74 and 14,642.58 is: 20,212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,070.74 : 33,227.74 = 14,642.58 : x
  2. Step 2: Convert to fraction form
    24,070.74/33,227.74 = 14,642.58/x
  3. Step 3: Cross multiply
    24,070.74x = 33,227.74 × 14,642.58
  4. Step 4: Simplify right side
    24,070.74x = 486,539,841.17
  5. Step 5: Solve for x
    x = 486,539,841.17/24,070.74
  6. Step 6: Final answer
    x = 20,212.92

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