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Finding the Fourth Proportional to 12,870.24, 17,757.36 and 7,566.72

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Solution

The fourth proportional to 12,870.24, 17,757.36 and 7,566.72 is: 10,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.24 : 17,757.36 = 7,566.72 : x
  2. Step 2: Convert to fraction form
    12,870.24/17,757.36 = 7,566.72/x
  3. Step 3: Cross multiply
    12,870.24x = 17,757.36 × 7,566.72
  4. Step 4: Simplify right side
    12,870.24x = 134,364,971.06
  5. Step 5: Solve for x
    x = 134,364,971.06/12,870.24
  6. Step 6: Final answer
    x = 10,439.97

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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.