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Finding the Fourth Proportional to 24,147.54, 33,331.80 and 15,210

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Solution

The fourth proportional to 24,147.54, 33,331.80 and 15,210 is: 20,994.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,147.54 : 33,331.80 = 15,210 : x
  2. Step 2: Convert to fraction form
    24,147.54/33,331.80 = 15,210/x
  3. Step 3: Cross multiply
    24,147.54x = 33,331.80 × 15,210
  4. Step 4: Simplify right side
    24,147.54x = 506,976,678.00
  5. Step 5: Solve for x
    x = 506,976,678.00/24,147.54
  6. Step 6: Final answer
    x = 20,994.96

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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.