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Finding the Fourth Proportional to 12,923.35, 17,834.53 and 7,258.11

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Solution

The fourth proportional to 12,923.35, 17,834.53 and 7,258.11 is: 10,016.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.35 : 17,834.53 = 7,258.11 : x
  2. Step 2: Convert to fraction form
    12,923.35/17,834.53 = 7,258.11/x
  3. Step 3: Cross multiply
    12,923.35x = 17,834.53 × 7,258.11
  4. Step 4: Simplify right side
    12,923.35x = 129,444,909.12
  5. Step 5: Solve for x
    x = 129,444,909.12/12,923.35
  6. Step 6: Final answer
    x = 10,016.36

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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.