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Finding the Fourth Proportional to 15,042.86, 22,569.21 and 6,165.66

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Solution

The fourth proportional to 15,042.86, 22,569.21 and 6,165.66 is: 9,250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,042.86 : 22,569.21 = 6,165.66 : x
  2. Step 2: Convert to fraction form
    15,042.86/22,569.21 = 6,165.66/x
  3. Step 3: Cross multiply
    15,042.86x = 22,569.21 × 6,165.66
  4. Step 4: Simplify right side
    15,042.86x = 139,154,075.33
  5. Step 5: Solve for x
    x = 139,154,075.33/15,042.86
  6. Step 6: Final answer
    x = 9,250.51

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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.