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Finding the Fourth Proportional to 22,520, 31,078.56 and 12,584

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Solution

The fourth proportional to 22,520, 31,078.56 and 12,584 is: 17,366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520 : 31,078.56 = 12,584 : x
  2. Step 2: Convert to fraction form
    22,520/31,078.56 = 12,584/x
  3. Step 3: Cross multiply
    22,520x = 31,078.56 × 12,584
  4. Step 4: Simplify right side
    22,520x = 391,092,599.04
  5. Step 5: Solve for x
    x = 391,092,599.04/22,520
  6. Step 6: Final answer
    x = 17,366.46

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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.