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Finding the Fourth Proportional to 22,497.92, 31,051.11 and 12,937.06

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Solution

The fourth proportional to 22,497.92, 31,051.11 and 12,937.06 is: 17,855.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497.92 : 31,051.11 = 12,937.06 : x
  2. Step 2: Convert to fraction form
    22,497.92/31,051.11 = 12,937.06/x
  3. Step 3: Cross multiply
    22,497.92x = 31,051.11 × 12,937.06
  4. Step 4: Simplify right side
    22,497.92x = 401,710,087.69
  5. Step 5: Solve for x
    x = 401,710,087.69/22,497.92
  6. Step 6: Final answer
    x = 17,855.44

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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.