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Finding the Fourth Proportional to 24,358.16, 36,515.64 and 11,871.20

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Solution

The fourth proportional to 24,358.16, 36,515.64 and 11,871.20 is: 17,796.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,358.16 : 36,515.64 = 11,871.20 : x
  2. Step 2: Convert to fraction form
    24,358.16/36,515.64 = 11,871.20/x
  3. Step 3: Cross multiply
    24,358.16x = 36,515.64 × 11,871.20
  4. Step 4: Simplify right side
    24,358.16x = 433,484,465.57
  5. Step 5: Solve for x
    x = 433,484,465.57/24,358.16
  6. Step 6: Final answer
    x = 17,796.27

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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.