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Finding the Fourth Proportional to 12,818.28, 19,112.55 and 12,585

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Solution

The fourth proportional to 12,818.28, 19,112.55 and 12,585 is: 18,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.28 : 19,112.55 = 12,585 : x
  2. Step 2: Convert to fraction form
    12,818.28/19,112.55 = 12,585/x
  3. Step 3: Cross multiply
    12,818.28x = 19,112.55 × 12,585
  4. Step 4: Simplify right side
    12,818.28x = 240,531,441.75
  5. Step 5: Solve for x
    x = 240,531,441.75/12,818.28
  6. Step 6: Final answer
    x = 18,764.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.