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Finding the Fourth Proportional to 12,765.71, 19,148.87 and 4,867.20

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Solution

The fourth proportional to 12,765.71, 19,148.87 and 4,867.20 is: 7,300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.71 : 19,148.87 = 4,867.20 : x
  2. Step 2: Convert to fraction form
    12,765.71/19,148.87 = 4,867.20/x
  3. Step 3: Cross multiply
    12,765.71x = 19,148.87 × 4,867.20
  4. Step 4: Simplify right side
    12,765.71x = 93,201,392.23
  5. Step 5: Solve for x
    x = 93,201,392.23/12,765.71
  6. Step 6: Final answer
    x = 7,300.92

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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.