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Finding the Fourth Proportional to 24,071.64, 33,219.42 and 13,316.52

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Solution

The fourth proportional to 24,071.64, 33,219.42 and 13,316.52 is: 18,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,071.64 : 33,219.42 = 13,316.52 : x
  2. Step 2: Convert to fraction form
    24,071.64/33,219.42 = 13,316.52/x
  3. Step 3: Cross multiply
    24,071.64x = 33,219.42 × 13,316.52
  4. Step 4: Simplify right side
    24,071.64x = 442,367,070.82
  5. Step 5: Solve for x
    x = 442,367,070.82/24,071.64
  6. Step 6: Final answer
    x = 18,377.11

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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.