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Finding the Fourth Proportional to 12,720.02, 17,552.75 and 7,342.67

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Solution

The fourth proportional to 12,720.02, 17,552.75 and 7,342.67 is: 10,132.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,720.02 : 17,552.75 = 7,342.67 : x
  2. Step 2: Convert to fraction form
    12,720.02/17,552.75 = 7,342.67/x
  3. Step 3: Cross multiply
    12,720.02x = 17,552.75 × 7,342.67
  4. Step 4: Simplify right side
    12,720.02x = 128,884,058.01
  5. Step 5: Solve for x
    x = 128,884,058.01/12,720.02
  6. Step 6: Final answer
    x = 10,132.38

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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.