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Finding the Fourth Proportional to 15,813.56, 21,822.72 and 9,527.15

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Solution

The fourth proportional to 15,813.56, 21,822.72 and 9,527.15 is: 13,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.56 : 21,822.72 = 9,527.15 : x
  2. Step 2: Convert to fraction form
    15,813.56/21,822.72 = 9,527.15/x
  3. Step 3: Cross multiply
    15,813.56x = 21,822.72 × 9,527.15
  4. Step 4: Simplify right side
    15,813.56x = 207,908,345.68
  5. Step 5: Solve for x
    x = 207,908,345.68/15,813.56
  6. Step 6: Final answer
    x = 13,147.47

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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.