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Finding the Fourth Proportional to 24,101.20, 36,145.40 and 7,461.20

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Solution

The fourth proportional to 24,101.20, 36,145.40 and 7,461.20 is: 11,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,101.20 : 36,145.40 = 7,461.20 : x
  2. Step 2: Convert to fraction form
    24,101.20/36,145.40 = 7,461.20/x
  3. Step 3: Cross multiply
    24,101.20x = 36,145.40 × 7,461.20
  4. Step 4: Simplify right side
    24,101.20x = 269,688,058.48
  5. Step 5: Solve for x
    x = 269,688,058.48/24,101.20
  6. Step 6: Final answer
    x = 11,189.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.