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Finding the Fourth Proportional to 15,775.83, 23,665.91 and 5,779.26

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Solution

The fourth proportional to 15,775.83, 23,665.91 and 5,779.26 is: 8,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,775.83 : 23,665.91 = 5,779.26 : x
  2. Step 2: Convert to fraction form
    15,775.83/23,665.91 = 5,779.26/x
  3. Step 3: Cross multiply
    15,775.83x = 23,665.91 × 5,779.26
  4. Step 4: Simplify right side
    15,775.83x = 136,771,418.13
  5. Step 5: Solve for x
    x = 136,771,418.13/15,775.83
  6. Step 6: Final answer
    x = 8,669.68

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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.