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Finding the Fourth Proportional to 12,642.60, 18,966.54 and 4,851.36

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Solution

The fourth proportional to 12,642.60, 18,966.54 and 4,851.36 is: 7,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.60 : 18,966.54 = 4,851.36 : x
  2. Step 2: Convert to fraction form
    12,642.60/18,966.54 = 4,851.36/x
  3. Step 3: Cross multiply
    12,642.60x = 18,966.54 × 4,851.36
  4. Step 4: Simplify right side
    12,642.60x = 92,013,513.49
  5. Step 5: Solve for x
    x = 92,013,513.49/12,642.60
  6. Step 6: Final answer
    x = 7,278.05

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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.