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Finding the Fourth Proportional to 17,527.16, 24,187.36 and 9,569.36

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Solution

The fourth proportional to 17,527.16, 24,187.36 and 9,569.36 is: 13,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,527.16 : 24,187.36 = 9,569.36 : x
  2. Step 2: Convert to fraction form
    17,527.16/24,187.36 = 9,569.36/x
  3. Step 3: Cross multiply
    17,527.16x = 24,187.36 × 9,569.36
  4. Step 4: Simplify right side
    17,527.16x = 231,457,555.29
  5. Step 5: Solve for x
    x = 231,457,555.29/17,527.16
  6. Step 6: Final answer
    x = 13,205.65

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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.