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Finding the Fourth Proportional to 12,567.67, 17,343.65 and 7,537.16

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Solution

The fourth proportional to 12,567.67, 17,343.65 and 7,537.16 is: 10,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.67 : 17,343.65 = 7,537.16 : x
  2. Step 2: Convert to fraction form
    12,567.67/17,343.65 = 7,537.16/x
  3. Step 3: Cross multiply
    12,567.67x = 17,343.65 × 7,537.16
  4. Step 4: Simplify right side
    12,567.67x = 130,721,927.24
  5. Step 5: Solve for x
    x = 130,721,927.24/12,567.67
  6. Step 6: Final answer
    x = 10,401.45

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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.