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Finding the Fourth Proportional to 17,526.16, 24,186.66 and 9,568.80

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Solution

The fourth proportional to 17,526.16, 24,186.66 and 9,568.80 is: 13,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,526.16 : 24,186.66 = 9,568.80 : x
  2. Step 2: Convert to fraction form
    17,526.16/24,186.66 = 9,568.80/x
  3. Step 3: Cross multiply
    17,526.16x = 24,186.66 × 9,568.80
  4. Step 4: Simplify right side
    17,526.16x = 231,437,312.21
  5. Step 5: Solve for x
    x = 231,437,312.21/17,526.16
  6. Step 6: Final answer
    x = 13,205.25

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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.