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Finding the Fourth Proportional to 17,526, 24,188.10 and 11,570.08

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Solution

The fourth proportional to 17,526, 24,188.10 and 11,570.08 is: 15,968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,526 : 24,188.10 = 11,570.08 : x
  2. Step 2: Convert to fraction form
    17,526/24,188.10 = 11,570.08/x
  3. Step 3: Cross multiply
    17,526x = 24,188.10 × 11,570.08
  4. Step 4: Simplify right side
    17,526x = 279,858,252.05
  5. Step 5: Solve for x
    x = 279,858,252.05/17,526
  6. Step 6: Final answer
    x = 15,968.18

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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.