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Finding the Fourth Proportional to 12,923.99, 17,834.86 and 7,258.79

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Solution

The fourth proportional to 12,923.99, 17,834.86 and 7,258.79 is: 10,016.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.99 : 17,834.86 = 7,258.79 : x
  2. Step 2: Convert to fraction form
    12,923.99/17,834.86 = 7,258.79/x
  3. Step 3: Cross multiply
    12,923.99x = 17,834.86 × 7,258.79
  4. Step 4: Simplify right side
    12,923.99x = 129,459,503.42
  5. Step 5: Solve for x
    x = 129,459,503.42/12,923.99
  6. Step 6: Final answer
    x = 10,016.99

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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.