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Finding the Fourth Proportional to 17,758.70, 24,507.08 and 9,801.16

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Solution

The fourth proportional to 17,758.70, 24,507.08 and 9,801.16 is: 13,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.70 : 24,507.08 = 9,801.16 : x
  2. Step 2: Convert to fraction form
    17,758.70/24,507.08 = 9,801.16/x
  3. Step 3: Cross multiply
    17,758.70x = 24,507.08 × 9,801.16
  4. Step 4: Simplify right side
    17,758.70x = 240,197,812.21
  5. Step 5: Solve for x
    x = 240,197,812.21/17,758.70
  6. Step 6: Final answer
    x = 13,525.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.