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Finding the Fourth Proportional to 15,894.98, 23,842.65 and 4,801.76

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Solution

The fourth proportional to 15,894.98, 23,842.65 and 4,801.76 is: 7,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.98 : 23,842.65 = 4,801.76 : x
  2. Step 2: Convert to fraction form
    15,894.98/23,842.65 = 4,801.76/x
  3. Step 3: Cross multiply
    15,894.98x = 23,842.65 × 4,801.76
  4. Step 4: Simplify right side
    15,894.98x = 114,486,563.85
  5. Step 5: Solve for x
    x = 114,486,563.85/15,894.98
  6. Step 6: Final answer
    x = 7,202.69

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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.