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Finding the Fourth Proportional to 24,200.16, 36,300.48 and 8,617.20

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Solution

The fourth proportional to 24,200.16, 36,300.48 and 8,617.20 is: 12,925.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,200.16 : 36,300.48 = 8,617.20 : x
  2. Step 2: Convert to fraction form
    24,200.16/36,300.48 = 8,617.20/x
  3. Step 3: Cross multiply
    24,200.16x = 36,300.48 × 8,617.20
  4. Step 4: Simplify right side
    24,200.16x = 312,808,496.26
  5. Step 5: Solve for x
    x = 312,808,496.26/24,200.16
  6. Step 6: Final answer
    x = 12,925.89

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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.