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Finding the Fourth Proportional to 16,416.15, 24,587.78 and 13,500.15

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Solution

The fourth proportional to 16,416.15, 24,587.78 and 13,500.15 is: 20,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.15 : 24,587.78 = 13,500.15 : x
  2. Step 2: Convert to fraction form
    16,416.15/24,587.78 = 13,500.15/x
  3. Step 3: Cross multiply
    16,416.15x = 24,587.78 × 13,500.15
  4. Step 4: Simplify right side
    16,416.15x = 331,938,650.67
  5. Step 5: Solve for x
    x = 331,938,650.67/16,416.15
  6. Step 6: Final answer
    x = 20,220.25

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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.