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Finding the Fourth Proportional to 23,085.80, 31,856.66 and 13,013.72

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Solution

The fourth proportional to 23,085.80, 31,856.66 and 13,013.72 is: 17,957.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,085.80 : 31,856.66 = 13,013.72 : x
  2. Step 2: Convert to fraction form
    23,085.80/31,856.66 = 13,013.72/x
  3. Step 3: Cross multiply
    23,085.80x = 31,856.66 × 13,013.72
  4. Step 4: Simplify right side
    23,085.80x = 414,573,653.38
  5. Step 5: Solve for x
    x = 414,573,653.38/23,085.80
  6. Step 6: Final answer
    x = 17,957.95

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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.