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Finding the Fourth Proportional to 17,655.36, 24,363.90 and 10,102.02

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Solution

The fourth proportional to 17,655.36, 24,363.90 and 10,102.02 is: 13,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.36 : 24,363.90 = 10,102.02 : x
  2. Step 2: Convert to fraction form
    17,655.36/24,363.90 = 10,102.02/x
  3. Step 3: Cross multiply
    17,655.36x = 24,363.90 × 10,102.02
  4. Step 4: Simplify right side
    17,655.36x = 246,124,605.08
  5. Step 5: Solve for x
    x = 246,124,605.08/17,655.36
  6. Step 6: Final answer
    x = 13,940.50

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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.