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Finding the Fourth Proportional to 12,353.28, 18,533.04 and 3,588

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Solution

The fourth proportional to 12,353.28, 18,533.04 and 3,588 is: 5,382.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.28 : 18,533.04 = 3,588 : x
  2. Step 2: Convert to fraction form
    12,353.28/18,533.04 = 3,588/x
  3. Step 3: Cross multiply
    12,353.28x = 18,533.04 × 3,588
  4. Step 4: Simplify right side
    12,353.28x = 66,496,547.52
  5. Step 5: Solve for x
    x = 66,496,547.52/12,353.28
  6. Step 6: Final answer
    x = 5,382.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.