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Finding the Fourth Proportional to 12,731.68, 17,567.76 and 7,141.60

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Solution

The fourth proportional to 12,731.68, 17,567.76 and 7,141.60 is: 9,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,731.68 : 17,567.76 = 7,141.60 : x
  2. Step 2: Convert to fraction form
    12,731.68/17,567.76 = 7,141.60/x
  3. Step 3: Cross multiply
    12,731.68x = 17,567.76 × 7,141.60
  4. Step 4: Simplify right side
    12,731.68x = 125,461,914.82
  5. Step 5: Solve for x
    x = 125,461,914.82/12,731.68
  6. Step 6: Final answer
    x = 9,854.31

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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.