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Finding the Fourth Proportional to 13,864.64, 19,132.98 and 7,576.88

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Solution

The fourth proportional to 13,864.64, 19,132.98 and 7,576.88 is: 10,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864.64 : 19,132.98 = 7,576.88 : x
  2. Step 2: Convert to fraction form
    13,864.64/19,132.98 = 7,576.88/x
  3. Step 3: Cross multiply
    13,864.64x = 19,132.98 × 7,576.88
  4. Step 4: Simplify right side
    13,864.64x = 144,968,293.50
  5. Step 5: Solve for x
    x = 144,968,293.50/13,864.64
  6. Step 6: Final answer
    x = 10,455.97

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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.