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Finding the Fourth Proportional to 15,106.86, 22,652.51 and 6,779.73

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Solution

The fourth proportional to 15,106.86, 22,652.51 and 6,779.73 is: 10,166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.86 : 22,652.51 = 6,779.73 : x
  2. Step 2: Convert to fraction form
    15,106.86/22,652.51 = 6,779.73/x
  3. Step 3: Cross multiply
    15,106.86x = 22,652.51 × 6,779.73
  4. Step 4: Simplify right side
    15,106.86x = 153,577,952.67
  5. Step 5: Solve for x
    x = 153,577,952.67/15,106.86
  6. Step 6: Final answer
    x = 10,166.11

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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.