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Finding the Fourth Proportional to 22,088.31, 30,471.79 and 13,130.71

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Solution

The fourth proportional to 22,088.31, 30,471.79 and 13,130.71 is: 18,114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,088.31 : 30,471.79 = 13,130.71 : x
  2. Step 2: Convert to fraction form
    22,088.31/30,471.79 = 13,130.71/x
  3. Step 3: Cross multiply
    22,088.31x = 30,471.79 × 13,130.71
  4. Step 4: Simplify right side
    22,088.31x = 400,116,237.67
  5. Step 5: Solve for x
    x = 400,116,237.67/22,088.31
  6. Step 6: Final answer
    x = 18,114.39

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Why These Related Problems?

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