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Finding the Fourth Proportional to 22,894.96, 31,592.92 and 12,958.96

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Solution

The fourth proportional to 22,894.96, 31,592.92 and 12,958.96 is: 17,882.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,894.96 : 31,592.92 = 12,958.96 : x
  2. Step 2: Convert to fraction form
    22,894.96/31,592.92 = 12,958.96/x
  3. Step 3: Cross multiply
    22,894.96x = 31,592.92 × 12,958.96
  4. Step 4: Simplify right side
    22,894.96x = 409,411,386.56
  5. Step 5: Solve for x
    x = 409,411,386.56/22,894.96
  6. Step 6: Final answer
    x = 17,882.16

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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.