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Finding the Fourth Proportional to 12,141.21, 16,746.69 and 7,661.21

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Solution

The fourth proportional to 12,141.21, 16,746.69 and 7,661.21 is: 10,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.21 : 16,746.69 = 7,661.21 : x
  2. Step 2: Convert to fraction form
    12,141.21/16,746.69 = 7,661.21/x
  3. Step 3: Cross multiply
    12,141.21x = 16,746.69 × 7,661.21
  4. Step 4: Simplify right side
    12,141.21x = 128,299,825.16
  5. Step 5: Solve for x
    x = 128,299,825.16/12,141.21
  6. Step 6: Final answer
    x = 10,567.30

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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.