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Finding the Fourth Proportional to 22,760.98, 31,417.10 and 13,203.29

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Solution

The fourth proportional to 22,760.98, 31,417.10 and 13,203.29 is: 18,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,760.98 : 31,417.10 = 13,203.29 : x
  2. Step 2: Convert to fraction form
    22,760.98/31,417.10 = 13,203.29/x
  3. Step 3: Cross multiply
    22,760.98x = 31,417.10 × 13,203.29
  4. Step 4: Simplify right side
    22,760.98x = 414,808,908.67
  5. Step 5: Solve for x
    x = 414,808,908.67/22,760.98
  6. Step 6: Final answer
    x = 18,224.56

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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.