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Finding the Fourth Proportional to 15,531.81, 21,435.36 and 9,566.97

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Solution

The fourth proportional to 15,531.81, 21,435.36 and 9,566.97 is: 13,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,531.81 : 21,435.36 = 9,566.97 : x
  2. Step 2: Convert to fraction form
    15,531.81/21,435.36 = 9,566.97/x
  3. Step 3: Cross multiply
    15,531.81x = 21,435.36 × 9,566.97
  4. Step 4: Simplify right side
    15,531.81x = 205,071,446.06
  5. Step 5: Solve for x
    x = 205,071,446.06/15,531.81
  6. Step 6: Final answer
    x = 13,203.32

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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.