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Finding the Fourth Proportional to 12,886.68, 19,337.45 and 6,963.58

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Solution

The fourth proportional to 12,886.68, 19,337.45 and 6,963.58 is: 10,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.68 : 19,337.45 = 6,963.58 : x
  2. Step 2: Convert to fraction form
    12,886.68/19,337.45 = 6,963.58/x
  3. Step 3: Cross multiply
    12,886.68x = 19,337.45 × 6,963.58
  4. Step 4: Simplify right side
    12,886.68x = 134,657,880.07
  5. Step 5: Solve for x
    x = 134,657,880.07/12,886.68
  6. Step 6: Final answer
    x = 10,449.38

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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.