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Finding the Fourth Proportional to 12,358.86, 18,525.33 and 5,779.50

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Solution

The fourth proportional to 12,358.86, 18,525.33 and 5,779.50 is: 8,663.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.86 : 18,525.33 = 5,779.50 : x
  2. Step 2: Convert to fraction form
    12,358.86/18,525.33 = 5,779.50/x
  3. Step 3: Cross multiply
    12,358.86x = 18,525.33 × 5,779.50
  4. Step 4: Simplify right side
    12,358.86x = 107,067,144.74
  5. Step 5: Solve for x
    x = 107,067,144.74/12,358.86
  6. Step 6: Final answer
    x = 8,663.19

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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.