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Finding the Fourth Proportional to 17,716, 24,448.08 and 9,758.20

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Solution

The fourth proportional to 17,716, 24,448.08 and 9,758.20 is: 13,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716 : 24,448.08 = 9,758.20 : x
  2. Step 2: Convert to fraction form
    17,716/24,448.08 = 9,758.20/x
  3. Step 3: Cross multiply
    17,716x = 24,448.08 × 9,758.20
  4. Step 4: Simplify right side
    17,716x = 238,569,254.26
  5. Step 5: Solve for x
    x = 238,569,254.26/17,716
  6. Step 6: Final answer
    x = 13,466.32

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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.