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Finding the Fourth Proportional to 22,154.42, 30,574.92 and 12,597.31

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Solution

The fourth proportional to 22,154.42, 30,574.92 and 12,597.31 is: 17,385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,154.42 : 30,574.92 = 12,597.31 : x
  2. Step 2: Convert to fraction form
    22,154.42/30,574.92 = 12,597.31/x
  3. Step 3: Cross multiply
    22,154.42x = 30,574.92 × 12,597.31
  4. Step 4: Simplify right side
    22,154.42x = 385,161,745.47
  5. Step 5: Solve for x
    x = 385,161,745.47/22,154.42
  6. Step 6: Final answer
    x = 17,385.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.