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Finding the Fourth Proportional to 18,970.74, 28,452.86 and 5,116.50

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Solution

The fourth proportional to 18,970.74, 28,452.86 and 5,116.50 is: 7,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,970.74 : 28,452.86 = 5,116.50 : x
  2. Step 2: Convert to fraction form
    18,970.74/28,452.86 = 5,116.50/x
  3. Step 3: Cross multiply
    18,970.74x = 28,452.86 × 5,116.50
  4. Step 4: Simplify right side
    18,970.74x = 145,579,058.19
  5. Step 5: Solve for x
    x = 145,579,058.19/18,970.74
  6. Step 6: Final answer
    x = 7,673.87

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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.