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Finding the Fourth Proportional to 22,148.47, 33,226.99 and 7,159.63

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Solution

The fourth proportional to 22,148.47, 33,226.99 and 7,159.63 is: 10,740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,148.47 : 33,226.99 = 7,159.63 : x
  2. Step 2: Convert to fraction form
    22,148.47/33,226.99 = 7,159.63/x
  3. Step 3: Cross multiply
    22,148.47x = 33,226.99 × 7,159.63
  4. Step 4: Simplify right side
    22,148.47x = 237,892,752.48
  5. Step 5: Solve for x
    x = 237,892,752.48/22,148.47
  6. Step 6: Final answer
    x = 10,740.82

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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.