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Finding the Fourth Proportional to 19,096, 26,352.66 and 10,712.68

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Solution

The fourth proportional to 19,096, 26,352.66 and 10,712.68 is: 14,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,096 : 26,352.66 = 10,712.68 : x
  2. Step 2: Convert to fraction form
    19,096/26,352.66 = 10,712.68/x
  3. Step 3: Cross multiply
    19,096x = 26,352.66 × 10,712.68
  4. Step 4: Simplify right side
    19,096x = 282,307,613.73
  5. Step 5: Solve for x
    x = 282,307,613.73/19,096
  6. Step 6: Final answer
    x = 14,783.60

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Why These Related Problems?

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