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Finding the Fourth Proportional to 12,854.88, 19,282.50 and 4,097.16

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Solution

The fourth proportional to 12,854.88, 19,282.50 and 4,097.16 is: 6,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.88 : 19,282.50 = 4,097.16 : x
  2. Step 2: Convert to fraction form
    12,854.88/19,282.50 = 4,097.16/x
  3. Step 3: Cross multiply
    12,854.88x = 19,282.50 × 4,097.16
  4. Step 4: Simplify right side
    12,854.88x = 79,003,487.70
  5. Step 5: Solve for x
    x = 79,003,487.70/12,854.88
  6. Step 6: Final answer
    x = 6,145.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.