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Finding the Fourth Proportional to 16,281.78, 24,421.10 and 5,186.50

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Solution

The fourth proportional to 16,281.78, 24,421.10 and 5,186.50 is: 7,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.78 : 24,421.10 = 5,186.50 : x
  2. Step 2: Convert to fraction form
    16,281.78/24,421.10 = 5,186.50/x
  3. Step 3: Cross multiply
    16,281.78x = 24,421.10 × 5,186.50
  4. Step 4: Simplify right side
    16,281.78x = 126,660,035.15
  5. Step 5: Solve for x
    x = 126,660,035.15/16,281.78
  6. Step 6: Final answer
    x = 7,779.25

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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.