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Finding the Fourth Proportional to 34,456.66, 51,686.75 and 9,496.16

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Solution

The fourth proportional to 34,456.66, 51,686.75 and 9,496.16 is: 14,244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,456.66 : 51,686.75 = 9,496.16 : x
  2. Step 2: Convert to fraction form
    34,456.66/51,686.75 = 9,496.16/x
  3. Step 3: Cross multiply
    34,456.66x = 51,686.75 × 9,496.16
  4. Step 4: Simplify right side
    34,456.66x = 490,825,607.01
  5. Step 5: Solve for x
    x = 490,825,607.01/34,456.66
  6. Step 6: Final answer
    x = 14,244.72

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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.