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Finding the Fourth Proportional to 26,292.90, 39,415.96 and 9,649.12

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Solution

The fourth proportional to 26,292.90, 39,415.96 and 9,649.12 is: 14,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,292.90 : 39,415.96 = 9,649.12 : x
  2. Step 2: Convert to fraction form
    26,292.90/39,415.96 = 9,649.12/x
  3. Step 3: Cross multiply
    26,292.90x = 39,415.96 × 9,649.12
  4. Step 4: Simplify right side
    26,292.90x = 380,329,279.71
  5. Step 5: Solve for x
    x = 380,329,279.71/26,292.90
  6. Step 6: Final answer
    x = 14,465.09

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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.