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Finding the Fourth Proportional to 12,960.74, 19,445.19 and 4,640.58

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Solution

The fourth proportional to 12,960.74, 19,445.19 and 4,640.58 is: 6,962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.74 : 19,445.19 = 4,640.58 : x
  2. Step 2: Convert to fraction form
    12,960.74/19,445.19 = 4,640.58/x
  3. Step 3: Cross multiply
    12,960.74x = 19,445.19 × 4,640.58
  4. Step 4: Simplify right side
    12,960.74x = 90,236,959.81
  5. Step 5: Solve for x
    x = 90,236,959.81/12,960.74
  6. Step 6: Final answer
    x = 6,962.33

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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.