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Finding the Fourth Proportional to 28,189.68, 42,284.28 and 8,468.16

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Solution

The fourth proportional to 28,189.68, 42,284.28 and 8,468.16 is: 12,702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,189.68 : 42,284.28 = 8,468.16 : x
  2. Step 2: Convert to fraction form
    28,189.68/42,284.28 = 8,468.16/x
  3. Step 3: Cross multiply
    28,189.68x = 42,284.28 × 8,468.16
  4. Step 4: Simplify right side
    28,189.68x = 358,070,048.52
  5. Step 5: Solve for x
    x = 358,070,048.52/28,189.68
  6. Step 6: Final answer
    x = 12,702.17

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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.