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Finding the Fourth Proportional to 12,567.10, 17,338.71 and 7,259.98

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Solution

The fourth proportional to 12,567.10, 17,338.71 and 7,259.98 is: 10,016.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.10 : 17,338.71 = 7,259.98 : x
  2. Step 2: Convert to fraction form
    12,567.10/17,338.71 = 7,259.98/x
  3. Step 3: Cross multiply
    12,567.10x = 17,338.71 × 7,259.98
  4. Step 4: Simplify right side
    12,567.10x = 125,878,687.83
  5. Step 5: Solve for x
    x = 125,878,687.83/12,567.10
  6. Step 6: Final answer
    x = 10,016.53

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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.