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Finding the Fourth Proportional to 22,886.59, 31,579.84 and 12,815.46

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Solution

The fourth proportional to 22,886.59, 31,579.84 and 12,815.46 is: 17,683.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,886.59 : 31,579.84 = 12,815.46 : x
  2. Step 2: Convert to fraction form
    22,886.59/31,579.84 = 12,815.46/x
  3. Step 3: Cross multiply
    22,886.59x = 31,579.84 × 12,815.46
  4. Step 4: Simplify right side
    22,886.59x = 404,710,176.33
  5. Step 5: Solve for x
    x = 404,710,176.33/22,886.59
  6. Step 6: Final answer
    x = 17,683.29

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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.