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Finding the Fourth Proportional to 22,658.17, 31,261.80 and 13,699.17

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Solution

The fourth proportional to 22,658.17, 31,261.80 and 13,699.17 is: 18,900.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.17 : 31,261.80 = 13,699.17 : x
  2. Step 2: Convert to fraction form
    22,658.17/31,261.80 = 13,699.17/x
  3. Step 3: Cross multiply
    22,658.17x = 31,261.80 × 13,699.17
  4. Step 4: Simplify right side
    22,658.17x = 428,260,712.71
  5. Step 5: Solve for x
    x = 428,260,712.71/22,658.17
  6. Step 6: Final answer
    x = 18,900.94

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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.