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Finding the Fourth Proportional to 15,898.40, 23,803.80 and 8,069

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Solution

The fourth proportional to 15,898.40, 23,803.80 and 8,069 is: 12,081.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,898.40 : 23,803.80 = 8,069 : x
  2. Step 2: Convert to fraction form
    15,898.40/23,803.80 = 8,069/x
  3. Step 3: Cross multiply
    15,898.40x = 23,803.80 × 8,069
  4. Step 4: Simplify right side
    15,898.40x = 192,072,862.20
  5. Step 5: Solve for x
    x = 192,072,862.20/15,898.40
  6. Step 6: Final answer
    x = 12,081.27

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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.