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Finding the Fourth Proportional to 22,725, 31,362.93 and 13,301.46

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Solution

The fourth proportional to 22,725, 31,362.93 and 13,301.46 is: 18,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,725 : 31,362.93 = 13,301.46 : x
  2. Step 2: Convert to fraction form
    22,725/31,362.93 = 13,301.46/x
  3. Step 3: Cross multiply
    22,725x = 31,362.93 × 13,301.46
  4. Step 4: Simplify right side
    22,725x = 417,172,758.88
  5. Step 5: Solve for x
    x = 417,172,758.88/22,725
  6. Step 6: Final answer
    x = 18,357.44

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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.