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Finding the Fourth Proportional to 24,006.40, 36,017.70 and 11,534.20

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Solution

The fourth proportional to 24,006.40, 36,017.70 and 11,534.20 is: 17,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,006.40 : 36,017.70 = 11,534.20 : x
  2. Step 2: Convert to fraction form
    24,006.40/36,017.70 = 11,534.20/x
  3. Step 3: Cross multiply
    24,006.40x = 36,017.70 × 11,534.20
  4. Step 4: Simplify right side
    24,006.40x = 415,435,355.34
  5. Step 5: Solve for x
    x = 415,435,355.34/24,006.40
  6. Step 6: Final answer
    x = 17,305.19

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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.