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Finding the Fourth Proportional to 12,346.72, 17,031.53 and 7,568.98

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Solution

The fourth proportional to 12,346.72, 17,031.53 and 7,568.98 is: 10,440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.72 : 17,031.53 = 7,568.98 : x
  2. Step 2: Convert to fraction form
    12,346.72/17,031.53 = 7,568.98/x
  3. Step 3: Cross multiply
    12,346.72x = 17,031.53 × 7,568.98
  4. Step 4: Simplify right side
    12,346.72x = 128,911,286.28
  5. Step 5: Solve for x
    x = 128,911,286.28/12,346.72
  6. Step 6: Final answer
    x = 10,440.94

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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.