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Finding the Fourth Proportional to 15,886.16, 23,827.28 and 4,200.32

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Solution

The fourth proportional to 15,886.16, 23,827.28 and 4,200.32 is: 6,299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886.16 : 23,827.28 = 4,200.32 : x
  2. Step 2: Convert to fraction form
    15,886.16/23,827.28 = 4,200.32/x
  3. Step 3: Cross multiply
    15,886.16x = 23,827.28 × 4,200.32
  4. Step 4: Simplify right side
    15,886.16x = 100,082,200.73
  5. Step 5: Solve for x
    x = 100,082,200.73/15,886.16
  6. Step 6: Final answer
    x = 6,299.96

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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.