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Finding the Fourth Proportional to 15,932.84, 21,987.72 and 9,128

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Solution

The fourth proportional to 15,932.84, 21,987.72 and 9,128 is: 12,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,932.84 : 21,987.72 = 9,128 : x
  2. Step 2: Convert to fraction form
    15,932.84/21,987.72 = 9,128/x
  3. Step 3: Cross multiply
    15,932.84x = 21,987.72 × 9,128
  4. Step 4: Simplify right side
    15,932.84x = 200,703,908.16
  5. Step 5: Solve for x
    x = 200,703,908.16/15,932.84
  6. Step 6: Final answer
    x = 12,596.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.