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Finding the Fourth Proportional to 23,102.17, 31,880.84 and 13,030.70

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Solution

The fourth proportional to 23,102.17, 31,880.84 and 13,030.70 is: 17,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.17 : 31,880.84 = 13,030.70 : x
  2. Step 2: Convert to fraction form
    23,102.17/31,880.84 = 13,030.70/x
  3. Step 3: Cross multiply
    23,102.17x = 31,880.84 × 13,030.70
  4. Step 4: Simplify right side
    23,102.17x = 415,429,502.38
  5. Step 5: Solve for x
    x = 415,429,502.38/23,102.17
  6. Step 6: Final answer
    x = 17,982.27

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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.