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Finding the Fourth Proportional to 24,212.78, 33,407.76 and 14,135.46

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Solution

The fourth proportional to 24,212.78, 33,407.76 and 14,135.46 is: 19,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,212.78 : 33,407.76 = 14,135.46 : x
  2. Step 2: Convert to fraction form
    24,212.78/33,407.76 = 14,135.46/x
  3. Step 3: Cross multiply
    24,212.78x = 33,407.76 × 14,135.46
  4. Step 4: Simplify right side
    24,212.78x = 472,234,055.17
  5. Step 5: Solve for x
    x = 472,234,055.17/24,212.78
  6. Step 6: Final answer
    x = 19,503.50

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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.