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Finding the Fourth Proportional to 24,282.40, 36,350.70 and 14,416.60

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Solution

The fourth proportional to 24,282.40, 36,350.70 and 14,416.60 is: 21,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,282.40 : 36,350.70 = 14,416.60 : x
  2. Step 2: Convert to fraction form
    24,282.40/36,350.70 = 14,416.60/x
  3. Step 3: Cross multiply
    24,282.40x = 36,350.70 × 14,416.60
  4. Step 4: Simplify right side
    24,282.40x = 524,053,501.62
  5. Step 5: Solve for x
    x = 524,053,501.62/24,282.40
  6. Step 6: Final answer
    x = 21,581.62

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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.