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Finding the Fourth Proportional to 24,230.90, 36,288.03 and 16,416.02

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Solution

The fourth proportional to 24,230.90, 36,288.03 and 16,416.02 is: 24,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230.90 : 36,288.03 = 16,416.02 : x
  2. Step 2: Convert to fraction form
    24,230.90/36,288.03 = 16,416.02/x
  3. Step 3: Cross multiply
    24,230.90x = 36,288.03 × 16,416.02
  4. Step 4: Simplify right side
    24,230.90x = 595,705,026.24
  5. Step 5: Solve for x
    x = 595,705,026.24/24,230.90
  6. Step 6: Final answer
    x = 24,584.52

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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.