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Finding the Fourth Proportional to 17,655.14, 24,362.89 and 9,697.70

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Solution

The fourth proportional to 17,655.14, 24,362.89 and 9,697.70 is: 13,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.14 : 24,362.89 = 9,697.70 : x
  2. Step 2: Convert to fraction form
    17,655.14/24,362.89 = 9,697.70/x
  3. Step 3: Cross multiply
    17,655.14x = 24,362.89 × 9,697.70
  4. Step 4: Simplify right side
    17,655.14x = 236,263,852.29
  5. Step 5: Solve for x
    x = 236,263,852.29/17,655.14
  6. Step 6: Final answer
    x = 13,382.16

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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.