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Finding the Fourth Proportional to 12,892.60, 19,205.75 and 12,585.40

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Solution

The fourth proportional to 12,892.60, 19,205.75 and 12,585.40 is: 18,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.60 : 19,205.75 = 12,585.40 : x
  2. Step 2: Convert to fraction form
    12,892.60/19,205.75 = 12,585.40/x
  3. Step 3: Cross multiply
    12,892.60x = 19,205.75 × 12,585.40
  4. Step 4: Simplify right side
    12,892.60x = 241,712,046.05
  5. Step 5: Solve for x
    x = 241,712,046.05/12,892.60
  6. Step 6: Final answer
    x = 18,748.12

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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.