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Finding the Fourth Proportional to 15,885.90, 23,828.85 and 4,200.30

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Solution

The fourth proportional to 15,885.90, 23,828.85 and 4,200.30 is: 6,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,885.90 : 23,828.85 = 4,200.30 : x
  2. Step 2: Convert to fraction form
    15,885.90/23,828.85 = 4,200.30/x
  3. Step 3: Cross multiply
    15,885.90x = 23,828.85 × 4,200.30
  4. Step 4: Simplify right side
    15,885.90x = 100,088,318.66
  5. Step 5: Solve for x
    x = 100,088,318.66/15,885.90
  6. Step 6: Final answer
    x = 6,300.45

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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.