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Finding the Fourth Proportional to 14,323.50, 19,766.50 and 8,035.88

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Solution

The fourth proportional to 14,323.50, 19,766.50 and 8,035.88 is: 11,089.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323.50 : 19,766.50 = 8,035.88 : x
  2. Step 2: Convert to fraction form
    14,323.50/19,766.50 = 8,035.88/x
  3. Step 3: Cross multiply
    14,323.50x = 19,766.50 × 8,035.88
  4. Step 4: Simplify right side
    14,323.50x = 158,841,103.10
  5. Step 5: Solve for x
    x = 158,841,103.10/14,323.50
  6. Step 6: Final answer
    x = 11,089.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.