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Finding the Fourth Proportional to 13,178.74, 19,759.36 and 7,258.42

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Solution

The fourth proportional to 13,178.74, 19,759.36 and 7,258.42 is: 10,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.74 : 19,759.36 = 7,258.42 : x
  2. Step 2: Convert to fraction form
    13,178.74/19,759.36 = 7,258.42/x
  3. Step 3: Cross multiply
    13,178.74x = 19,759.36 × 7,258.42
  4. Step 4: Simplify right side
    13,178.74x = 143,421,733.81
  5. Step 5: Solve for x
    x = 143,421,733.81/13,178.74
  6. Step 6: Final answer
    x = 10,882.81

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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.