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Finding the Fourth Proportional to 22,512.84, 31,070.12 and 12,953.14

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Solution

The fourth proportional to 22,512.84, 31,070.12 and 12,953.14 is: 17,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,512.84 : 31,070.12 = 12,953.14 : x
  2. Step 2: Convert to fraction form
    22,512.84/31,070.12 = 12,953.14/x
  3. Step 3: Cross multiply
    22,512.84x = 31,070.12 × 12,953.14
  4. Step 4: Simplify right side
    22,512.84x = 402,455,614.18
  5. Step 5: Solve for x
    x = 402,455,614.18/22,512.84
  6. Step 6: Final answer
    x = 17,876.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.