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Finding the Fourth Proportional to 10,382.84, 15,500.30 and 10,018.32

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Solution

The fourth proportional to 10,382.84, 15,500.30 and 10,018.32 is: 14,956.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.84 : 15,500.30 = 10,018.32 : x
  2. Step 2: Convert to fraction form
    10,382.84/15,500.30 = 10,018.32/x
  3. Step 3: Cross multiply
    10,382.84x = 15,500.30 × 10,018.32
  4. Step 4: Simplify right side
    10,382.84x = 155,286,965.50
  5. Step 5: Solve for x
    x = 155,286,965.50/10,382.84
  6. Step 6: Final answer
    x = 14,956.12

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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.