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Finding the Fourth Proportional to 17,092.80, 25,646.40 and 9,307.20

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Solution

The fourth proportional to 17,092.80, 25,646.40 and 9,307.20 is: 13,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,092.80 : 25,646.40 = 9,307.20 : x
  2. Step 2: Convert to fraction form
    17,092.80/25,646.40 = 9,307.20/x
  3. Step 3: Cross multiply
    17,092.80x = 25,646.40 × 9,307.20
  4. Step 4: Simplify right side
    17,092.80x = 238,696,174.08
  5. Step 5: Solve for x
    x = 238,696,174.08/17,092.80
  6. Step 6: Final answer
    x = 13,964.72

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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.