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Finding the Fourth Proportional to 15,192.80, 22,790.80 and 6,307.12

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Solution

The fourth proportional to 15,192.80, 22,790.80 and 6,307.12 is: 9,461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,192.80 : 22,790.80 = 6,307.12 : x
  2. Step 2: Convert to fraction form
    15,192.80/22,790.80 = 6,307.12/x
  3. Step 3: Cross multiply
    15,192.80x = 22,790.80 × 6,307.12
  4. Step 4: Simplify right side
    15,192.80x = 143,744,310.50
  5. Step 5: Solve for x
    x = 143,744,310.50/15,192.80
  6. Step 6: Final answer
    x = 9,461.34

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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.