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Finding the Fourth Proportional to 15,825.80, 21,832.74 and 9,534.56

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Solution

The fourth proportional to 15,825.80, 21,832.74 and 9,534.56 is: 13,153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.80 : 21,832.74 = 9,534.56 : x
  2. Step 2: Convert to fraction form
    15,825.80/21,832.74 = 9,534.56/x
  3. Step 3: Cross multiply
    15,825.80x = 21,832.74 × 9,534.56
  4. Step 4: Simplify right side
    15,825.80x = 208,165,569.49
  5. Step 5: Solve for x
    x = 208,165,569.49/15,825.80
  6. Step 6: Final answer
    x = 13,153.56

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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.