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Finding the Fourth Proportional to 17,593.36, 24,277.80 and 9,634

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Solution

The fourth proportional to 17,593.36, 24,277.80 and 9,634 is: 13,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,593.36 : 24,277.80 = 9,634 : x
  2. Step 2: Convert to fraction form
    17,593.36/24,277.80 = 9,634/x
  3. Step 3: Cross multiply
    17,593.36x = 24,277.80 × 9,634
  4. Step 4: Simplify right side
    17,593.36x = 233,892,325.20
  5. Step 5: Solve for x
    x = 233,892,325.20/17,593.36
  6. Step 6: Final answer
    x = 13,294.35

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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.