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Finding the Fourth Proportional to 17,858.10, 24,643.26 and 9,900.24

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Solution

The fourth proportional to 17,858.10, 24,643.26 and 9,900.24 is: 13,661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.10 : 24,643.26 = 9,900.24 : x
  2. Step 2: Convert to fraction form
    17,858.10/24,643.26 = 9,900.24/x
  3. Step 3: Cross multiply
    17,858.10x = 24,643.26 × 9,900.24
  4. Step 4: Simplify right side
    17,858.10x = 243,974,188.38
  5. Step 5: Solve for x
    x = 243,974,188.38/17,858.10
  6. Step 6: Final answer
    x = 13,661.82

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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.