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Finding the Fourth Proportional to 12,335.10, 17,017.20 and 7,553.22

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Solution

The fourth proportional to 12,335.10, 17,017.20 and 7,553.22 is: 10,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335.10 : 17,017.20 = 7,553.22 : x
  2. Step 2: Convert to fraction form
    12,335.10/17,017.20 = 7,553.22/x
  3. Step 3: Cross multiply
    12,335.10x = 17,017.20 × 7,553.22
  4. Step 4: Simplify right side
    12,335.10x = 128,534,655.38
  5. Step 5: Solve for x
    x = 128,534,655.38/12,335.10
  6. Step 6: Final answer
    x = 10,420.24

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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.