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Finding the Fourth Proportional to 17,661.16, 24,370.98 and 10,209.64

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Solution

The fourth proportional to 17,661.16, 24,370.98 and 10,209.64 is: 14,088.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661.16 : 24,370.98 = 10,209.64 : x
  2. Step 2: Convert to fraction form
    17,661.16/24,370.98 = 10,209.64/x
  3. Step 3: Cross multiply
    17,661.16x = 24,370.98 × 10,209.64
  4. Step 4: Simplify right side
    17,661.16x = 248,818,932.25
  5. Step 5: Solve for x
    x = 248,818,932.25/17,661.16
  6. Step 6: Final answer
    x = 14,088.48

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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.