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Finding the Fourth Proportional to 19,871.74, 29,810.86 and 6,017.50

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Solution

The fourth proportional to 19,871.74, 29,810.86 and 6,017.50 is: 9,027.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,871.74 : 29,810.86 = 6,017.50 : x
  2. Step 2: Convert to fraction form
    19,871.74/29,810.86 = 6,017.50/x
  3. Step 3: Cross multiply
    19,871.74x = 29,810.86 × 6,017.50
  4. Step 4: Simplify right side
    19,871.74x = 179,386,850.05
  5. Step 5: Solve for x
    x = 179,386,850.05/19,871.74
  6. Step 6: Final answer
    x = 9,027.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.