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Finding the Fourth Proportional to 12,819.34, 17,696.08 and 7,785.18

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Solution

The fourth proportional to 12,819.34, 17,696.08 and 7,785.18 is: 10,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.34 : 17,696.08 = 7,785.18 : x
  2. Step 2: Convert to fraction form
    12,819.34/17,696.08 = 7,785.18/x
  3. Step 3: Cross multiply
    12,819.34x = 17,696.08 × 7,785.18
  4. Step 4: Simplify right side
    12,819.34x = 137,767,148.63
  5. Step 5: Solve for x
    x = 137,767,148.63/12,819.34
  6. Step 6: Final answer
    x = 10,746.82

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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.