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Finding the Fourth Proportional to 13,249, 18,284.10 and 7,584.76

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Solution

The fourth proportional to 13,249, 18,284.10 and 7,584.76 is: 10,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,249 : 18,284.10 = 7,584.76 : x
  2. Step 2: Convert to fraction form
    13,249/18,284.10 = 7,584.76/x
  3. Step 3: Cross multiply
    13,249x = 18,284.10 × 7,584.76
  4. Step 4: Simplify right side
    13,249x = 138,680,510.32
  5. Step 5: Solve for x
    x = 138,680,510.32/13,249
  6. Step 6: Final answer
    x = 10,467.24

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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.