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Finding the Fourth Proportional to 15,310.32, 22,962.78 and 4,214.32

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Solution

The fourth proportional to 15,310.32, 22,962.78 and 4,214.32 is: 6,320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,310.32 : 22,962.78 = 4,214.32 : x
  2. Step 2: Convert to fraction form
    15,310.32/22,962.78 = 4,214.32/x
  3. Step 3: Cross multiply
    15,310.32x = 22,962.78 × 4,214.32
  4. Step 4: Simplify right side
    15,310.32x = 96,772,503.01
  5. Step 5: Solve for x
    x = 96,772,503.01/15,310.32
  6. Step 6: Final answer
    x = 6,320.74

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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.