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Finding the Fourth Proportional to 24,511.79, 36,779.84 and 9,720.38

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Solution

The fourth proportional to 24,511.79, 36,779.84 and 9,720.38 is: 14,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,511.79 : 36,779.84 = 9,720.38 : x
  2. Step 2: Convert to fraction form
    24,511.79/36,779.84 = 9,720.38/x
  3. Step 3: Cross multiply
    24,511.79x = 36,779.84 × 9,720.38
  4. Step 4: Simplify right side
    24,511.79x = 357,514,054.96
  5. Step 5: Solve for x
    x = 357,514,054.96/24,511.79
  6. Step 6: Final answer
    x = 14,585.39

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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.