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Finding the Fourth Proportional to 22,980.13, 31,715.31 and 12,908.59

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Solution

The fourth proportional to 22,980.13, 31,715.31 and 12,908.59 is: 17,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,980.13 : 31,715.31 = 12,908.59 : x
  2. Step 2: Convert to fraction form
    22,980.13/31,715.31 = 12,908.59/x
  3. Step 3: Cross multiply
    22,980.13x = 31,715.31 × 12,908.59
  4. Step 4: Simplify right side
    22,980.13x = 409,399,710.39
  5. Step 5: Solve for x
    x = 409,399,710.39/22,980.13
  6. Step 6: Final answer
    x = 17,815.38

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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.