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Finding the Fourth Proportional to 17,523.61, 24,182.26 and 9,969.77

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Solution

The fourth proportional to 17,523.61, 24,182.26 and 9,969.77 is: 13,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523.61 : 24,182.26 = 9,969.77 : x
  2. Step 2: Convert to fraction form
    17,523.61/24,182.26 = 9,969.77/x
  3. Step 3: Cross multiply
    17,523.61x = 24,182.26 × 9,969.77
  4. Step 4: Simplify right side
    17,523.61x = 241,091,661.89
  5. Step 5: Solve for x
    x = 241,091,661.89/17,523.61
  6. Step 6: Final answer
    x = 13,758.11

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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.