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Finding the Fourth Proportional to 24,534, 33,861.33 and 14,461.83

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Solution

The fourth proportional to 24,534, 33,861.33 and 14,461.83 is: 19,959.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534 : 33,861.33 = 14,461.83 : x
  2. Step 2: Convert to fraction form
    24,534/33,861.33 = 14,461.83/x
  3. Step 3: Cross multiply
    24,534x = 33,861.33 × 14,461.83
  4. Step 4: Simplify right side
    24,534x = 489,696,798.03
  5. Step 5: Solve for x
    x = 489,696,798.03/24,534
  6. Step 6: Final answer
    x = 19,959.92

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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.