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Finding the Fourth Proportional to 16,779.76, 23,156.18 and 9,225.84

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Solution

The fourth proportional to 16,779.76, 23,156.18 and 9,225.84 is: 12,731.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,779.76 : 23,156.18 = 9,225.84 : x
  2. Step 2: Convert to fraction form
    16,779.76/23,156.18 = 9,225.84/x
  3. Step 3: Cross multiply
    16,779.76x = 23,156.18 × 9,225.84
  4. Step 4: Simplify right side
    16,779.76x = 213,635,211.69
  5. Step 5: Solve for x
    x = 213,635,211.69/16,779.76
  6. Step 6: Final answer
    x = 12,731.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.