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Finding the Fourth Proportional to 15,842.34, 21,860.14 and 8,768.74

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Solution

The fourth proportional to 15,842.34, 21,860.14 and 8,768.74 is: 12,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.34 : 21,860.14 = 8,768.74 : x
  2. Step 2: Convert to fraction form
    15,842.34/21,860.14 = 8,768.74/x
  3. Step 3: Cross multiply
    15,842.34x = 21,860.14 × 8,768.74
  4. Step 4: Simplify right side
    15,842.34x = 191,685,884.02
  5. Step 5: Solve for x
    x = 191,685,884.02/15,842.34
  6. Step 6: Final answer
    x = 12,099.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.