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Finding the Fourth Proportional to 18,603.68, 27,915.08 and 10,282.14

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Solution

The fourth proportional to 18,603.68, 27,915.08 and 10,282.14 is: 15,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,603.68 : 27,915.08 = 10,282.14 : x
  2. Step 2: Convert to fraction form
    18,603.68/27,915.08 = 10,282.14/x
  3. Step 3: Cross multiply
    18,603.68x = 27,915.08 × 10,282.14
  4. Step 4: Simplify right side
    18,603.68x = 287,026,767.10
  5. Step 5: Solve for x
    x = 287,026,767.10/18,603.68
  6. Step 6: Final answer
    x = 15,428.50

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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.