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Finding the Fourth Proportional to 12,567.52, 17,342.40 and 7,261.48

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Solution

The fourth proportional to 12,567.52, 17,342.40 and 7,261.48 is: 10,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.52 : 17,342.40 = 7,261.48 : x
  2. Step 2: Convert to fraction form
    12,567.52/17,342.40 = 7,261.48/x
  3. Step 3: Cross multiply
    12,567.52x = 17,342.40 × 7,261.48
  4. Step 4: Simplify right side
    12,567.52x = 125,931,490.75
  5. Step 5: Solve for x
    x = 125,931,490.75/12,567.52
  6. Step 6: Final answer
    x = 10,020.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.