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Finding the Fourth Proportional to 12,707.24, 19,057.78 and 5,307.68

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Solution

The fourth proportional to 12,707.24, 19,057.78 and 5,307.68 is: 7,960.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.24 : 19,057.78 = 5,307.68 : x
  2. Step 2: Convert to fraction form
    12,707.24/19,057.78 = 5,307.68/x
  3. Step 3: Cross multiply
    12,707.24x = 19,057.78 × 5,307.68
  4. Step 4: Simplify right side
    12,707.24x = 101,152,597.75
  5. Step 5: Solve for x
    x = 101,152,597.75/12,707.24
  6. Step 6: Final answer
    x = 7,960.23

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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.