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Finding the Fourth Proportional to 15,819.76, 21,832.50 and 8,746.84

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Solution

The fourth proportional to 15,819.76, 21,832.50 and 8,746.84 is: 12,071.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,819.76 : 21,832.50 = 8,746.84 : x
  2. Step 2: Convert to fraction form
    15,819.76/21,832.50 = 8,746.84/x
  3. Step 3: Cross multiply
    15,819.76x = 21,832.50 × 8,746.84
  4. Step 4: Simplify right side
    15,819.76x = 190,965,384.30
  5. Step 5: Solve for x
    x = 190,965,384.30/15,819.76
  6. Step 6: Final answer
    x = 12,071.32

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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.