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Finding the Fourth Proportional to 12,567.08, 17,345.14 and 7,261.18

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Solution

The fourth proportional to 12,567.08, 17,345.14 and 7,261.18 is: 10,021.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.08 : 17,345.14 = 7,261.18 : x
  2. Step 2: Convert to fraction form
    12,567.08/17,345.14 = 7,261.18/x
  3. Step 3: Cross multiply
    12,567.08x = 17,345.14 × 7,261.18
  4. Step 4: Simplify right side
    12,567.08x = 125,946,122.15
  5. Step 5: Solve for x
    x = 125,946,122.15/12,567.08
  6. Step 6: Final answer
    x = 10,021.91

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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.