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Finding the Fourth Proportional to 15,992.64, 23,967.84 and 7,675.20

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Solution

The fourth proportional to 15,992.64, 23,967.84 and 7,675.20 is: 11,502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,992.64 : 23,967.84 = 7,675.20 : x
  2. Step 2: Convert to fraction form
    15,992.64/23,967.84 = 7,675.20/x
  3. Step 3: Cross multiply
    15,992.64x = 23,967.84 × 7,675.20
  4. Step 4: Simplify right side
    15,992.64x = 183,957,965.57
  5. Step 5: Solve for x
    x = 183,957,965.57/15,992.64
  6. Step 6: Final answer
    x = 11,502.66

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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.