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Finding the Fourth Proportional to 15,900.80, 23,823.11 and 9,648.11

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Solution

The fourth proportional to 15,900.80, 23,823.11 and 9,648.11 is: 14,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900.80 : 23,823.11 = 9,648.11 : x
  2. Step 2: Convert to fraction form
    15,900.80/23,823.11 = 9,648.11/x
  3. Step 3: Cross multiply
    15,900.80x = 23,823.11 × 9,648.11
  4. Step 4: Simplify right side
    15,900.80x = 229,847,918.74
  5. Step 5: Solve for x
    x = 229,847,918.74/15,900.80
  6. Step 6: Final answer
    x = 14,455.12

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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.