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Finding the Fourth Proportional to 12,176.08, 18,272.16 and 5,602

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Solution

The fourth proportional to 12,176.08, 18,272.16 and 5,602 is: 8,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.08 : 18,272.16 = 5,602 : x
  2. Step 2: Convert to fraction form
    12,176.08/18,272.16 = 5,602/x
  3. Step 3: Cross multiply
    12,176.08x = 18,272.16 × 5,602
  4. Step 4: Simplify right side
    12,176.08x = 102,360,640.32
  5. Step 5: Solve for x
    x = 102,360,640.32/12,176.08
  6. Step 6: Final answer
    x = 8,406.70

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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.