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Finding the Fourth Proportional to 22,952.77, 31,678.00 and 12,881.81

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Solution

The fourth proportional to 22,952.77, 31,678.00 and 12,881.81 is: 17,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.77 : 31,678.00 = 12,881.81 : x
  2. Step 2: Convert to fraction form
    22,952.77/31,678.00 = 12,881.81/x
  3. Step 3: Cross multiply
    22,952.77x = 31,678.00 × 12,881.81
  4. Step 4: Simplify right side
    22,952.77x = 408,070,024.17
  5. Step 5: Solve for x
    x = 408,070,024.17/22,952.77
  6. Step 6: Final answer
    x = 17,778.69

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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.