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Finding the Fourth Proportional to 22,471.12, 31,008.94 and 12,397.59

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Solution

The fourth proportional to 22,471.12, 31,008.94 and 12,397.59 is: 17,108.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.12 : 31,008.94 = 12,397.59 : x
  2. Step 2: Convert to fraction form
    22,471.12/31,008.94 = 12,397.59/x
  3. Step 3: Cross multiply
    22,471.12x = 31,008.94 × 12,397.59
  4. Step 4: Simplify right side
    22,471.12x = 384,436,124.45
  5. Step 5: Solve for x
    x = 384,436,124.45/22,471.12
  6. Step 6: Final answer
    x = 17,108.01

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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.