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Finding the Fourth Proportional to 12,854.34, 19,164.42 and 12,531.15

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Solution

The fourth proportional to 12,854.34, 19,164.42 and 12,531.15 is: 18,682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.34 : 19,164.42 = 12,531.15 : x
  2. Step 2: Convert to fraction form
    12,854.34/19,164.42 = 12,531.15/x
  3. Step 3: Cross multiply
    12,854.34x = 19,164.42 × 12,531.15
  4. Step 4: Simplify right side
    12,854.34x = 240,152,159.03
  5. Step 5: Solve for x
    x = 240,152,159.03/12,854.34
  6. Step 6: Final answer
    x = 18,682.57

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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.