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Finding the Fourth Proportional to 19,870.74, 29,809.35 and 6,016.50

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Solution

The fourth proportional to 19,870.74, 29,809.35 and 6,016.50 is: 9,025.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870.74 : 29,809.35 = 6,016.50 : x
  2. Step 2: Convert to fraction form
    19,870.74/29,809.35 = 6,016.50/x
  3. Step 3: Cross multiply
    19,870.74x = 29,809.35 × 6,016.50
  4. Step 4: Simplify right side
    19,870.74x = 179,347,954.28
  5. Step 5: Solve for x
    x = 179,347,954.28/19,870.74
  6. Step 6: Final answer
    x = 9,025.73

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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.