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Finding the Fourth Proportional to 19,873.74, 29,813.88 and 6,019.50

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Solution

The fourth proportional to 19,873.74, 29,813.88 and 6,019.50 is: 9,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,873.74 : 29,813.88 = 6,019.50 : x
  2. Step 2: Convert to fraction form
    19,873.74/29,813.88 = 6,019.50/x
  3. Step 3: Cross multiply
    19,873.74x = 29,813.88 × 6,019.50
  4. Step 4: Simplify right side
    19,873.74x = 179,464,650.66
  5. Step 5: Solve for x
    x = 179,464,650.66/19,873.74
  6. Step 6: Final answer
    x = 9,030.24

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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.