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Finding the Fourth Proportional to 22,513.92, 31,064.22 and 12,953.22

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Solution

The fourth proportional to 22,513.92, 31,064.22 and 12,953.22 is: 17,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,513.92 : 31,064.22 = 12,953.22 : x
  2. Step 2: Convert to fraction form
    22,513.92/31,064.22 = 12,953.22/x
  3. Step 3: Cross multiply
    22,513.92x = 31,064.22 × 12,953.22
  4. Step 4: Simplify right side
    22,513.92x = 402,381,675.79
  5. Step 5: Solve for x
    x = 402,381,675.79/22,513.92
  6. Step 6: Final answer
    x = 17,872.57

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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.