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Finding the Fourth Proportional to 26,452.96, 39,681.78 and 9,590.20

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Solution

The fourth proportional to 26,452.96, 39,681.78 and 9,590.20 is: 14,386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,452.96 : 39,681.78 = 9,590.20 : x
  2. Step 2: Convert to fraction form
    26,452.96/39,681.78 = 9,590.20/x
  3. Step 3: Cross multiply
    26,452.96x = 39,681.78 × 9,590.20
  4. Step 4: Simplify right side
    26,452.96x = 380,556,206.56
  5. Step 5: Solve for x
    x = 380,556,206.56/26,452.96
  6. Step 6: Final answer
    x = 14,386.15

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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.