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Finding the Fourth Proportional to 22,944, 31,666.56 and 13,013.76

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Solution

The fourth proportional to 22,944, 31,666.56 and 13,013.76 is: 17,961.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,944 : 31,666.56 = 13,013.76 : x
  2. Step 2: Convert to fraction form
    22,944/31,666.56 = 13,013.76/x
  3. Step 3: Cross multiply
    22,944x = 31,666.56 × 13,013.76
  4. Step 4: Simplify right side
    22,944x = 412,101,011.87
  5. Step 5: Solve for x
    x = 412,101,011.87/22,944
  6. Step 6: Final answer
    x = 17,961.17

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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.