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Finding the Fourth Proportional to 22,498.17, 31,047.51 and 12,426.42

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Solution

The fourth proportional to 22,498.17, 31,047.51 and 12,426.42 is: 17,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,498.17 : 31,047.51 = 12,426.42 : x
  2. Step 2: Convert to fraction form
    22,498.17/31,047.51 = 12,426.42/x
  3. Step 3: Cross multiply
    22,498.17x = 31,047.51 × 12,426.42
  4. Step 4: Simplify right side
    22,498.17x = 385,809,399.21
  5. Step 5: Solve for x
    x = 385,809,399.21/22,498.17
  6. Step 6: Final answer
    x = 17,148.48

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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.