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Finding the Fourth Proportional to 10,381.82, 15,498.79 and 10,017.32

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Solution

The fourth proportional to 10,381.82, 15,498.79 and 10,017.32 is: 14,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.82 : 15,498.79 = 10,017.32 : x
  2. Step 2: Convert to fraction form
    10,381.82/15,498.79 = 10,017.32/x
  3. Step 3: Cross multiply
    10,381.82x = 15,498.79 × 10,017.32
  4. Step 4: Simplify right side
    10,381.82x = 155,256,339.04
  5. Step 5: Solve for x
    x = 155,256,339.04/10,381.82
  6. Step 6: Final answer
    x = 14,954.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.