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Finding the Fourth Proportional to 15,635.84, 21,576.78 and 9,668.16

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Solution

The fourth proportional to 15,635.84, 21,576.78 and 9,668.16 is: 13,341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,635.84 : 21,576.78 = 9,668.16 : x
  2. Step 2: Convert to fraction form
    15,635.84/21,576.78 = 9,668.16/x
  3. Step 3: Cross multiply
    15,635.84x = 21,576.78 × 9,668.16
  4. Step 4: Simplify right side
    15,635.84x = 208,607,761.32
  5. Step 5: Solve for x
    x = 208,607,761.32/15,635.84
  6. Step 6: Final answer
    x = 13,341.65

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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.