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Finding the Fourth Proportional to 17,858.42, 24,643.93 and 9,900.75

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Solution

The fourth proportional to 17,858.42, 24,643.93 and 9,900.75 is: 13,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.42 : 24,643.93 = 9,900.75 : x
  2. Step 2: Convert to fraction form
    17,858.42/24,643.93 = 9,900.75/x
  3. Step 3: Cross multiply
    17,858.42x = 24,643.93 × 9,900.75
  4. Step 4: Simplify right side
    17,858.42x = 243,993,389.95
  5. Step 5: Solve for x
    x = 243,993,389.95/17,858.42
  6. Step 6: Final answer
    x = 13,662.65

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1.5x scale

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.