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Finding the Fourth Proportional to 22,970.88, 31,694.40 and 13,034.88

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Solution

The fourth proportional to 22,970.88, 31,694.40 and 13,034.88 is: 17,985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.88 : 31,694.40 = 13,034.88 : x
  2. Step 2: Convert to fraction form
    22,970.88/31,694.40 = 13,034.88/x
  3. Step 3: Cross multiply
    22,970.88x = 31,694.40 × 13,034.88
  4. Step 4: Simplify right side
    22,970.88x = 413,132,700.67
  5. Step 5: Solve for x
    x = 413,132,700.67/22,970.88
  6. Step 6: Final answer
    x = 17,985.06

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1.5x scale

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.