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Finding the Fourth Proportional to 17,526.51, 24,186.24 and 9,568.53

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Solution

The fourth proportional to 17,526.51, 24,186.24 and 9,568.53 is: 13,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,526.51 : 24,186.24 = 9,568.53 : x
  2. Step 2: Convert to fraction form
    17,526.51/24,186.24 = 9,568.53/x
  3. Step 3: Cross multiply
    17,526.51x = 24,186.24 × 9,568.53
  4. Step 4: Simplify right side
    17,526.51x = 231,426,763.03
  5. Step 5: Solve for x
    x = 231,426,763.03/17,526.51
  6. Step 6: Final answer
    x = 13,204.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.