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Finding the Fourth Proportional to 12,719.71, 19,074.84 and 4,397.50

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Solution

The fourth proportional to 12,719.71, 19,074.84 and 4,397.50 is: 6,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,719.71 : 19,074.84 = 4,397.50 : x
  2. Step 2: Convert to fraction form
    12,719.71/19,074.84 = 4,397.50/x
  3. Step 3: Cross multiply
    12,719.71x = 19,074.84 × 4,397.50
  4. Step 4: Simplify right side
    12,719.71x = 83,881,608.90
  5. Step 5: Solve for x
    x = 83,881,608.90/12,719.71
  6. Step 6: Final answer
    x = 6,594.62

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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.