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Finding the Fourth Proportional to 19,854.18, 29,766.06 and 6,703.02

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Solution

The fourth proportional to 19,854.18, 29,766.06 and 6,703.02 is: 10,049.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.18 : 29,766.06 = 6,703.02 : x
  2. Step 2: Convert to fraction form
    19,854.18/29,766.06 = 6,703.02/x
  3. Step 3: Cross multiply
    19,854.18x = 29,766.06 × 6,703.02
  4. Step 4: Simplify right side
    19,854.18x = 199,522,495.50
  5. Step 5: Solve for x
    x = 199,522,495.50/19,854.18
  6. Step 6: Final answer
    x = 10,049.39

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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.