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Finding the Fourth Proportional to 22,838.46, 31,514.13 and 12,767.46

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Solution

The fourth proportional to 22,838.46, 31,514.13 and 12,767.46 is: 17,617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838.46 : 31,514.13 = 12,767.46 : x
  2. Step 2: Convert to fraction form
    22,838.46/31,514.13 = 12,767.46/x
  3. Step 3: Cross multiply
    22,838.46x = 31,514.13 × 12,767.46
  4. Step 4: Simplify right side
    22,838.46x = 402,355,394.21
  5. Step 5: Solve for x
    x = 402,355,394.21/22,838.46
  6. Step 6: Final answer
    x = 17,617.45

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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.