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Finding the Fourth Proportional to 16,147.84, 22,255.68 and 15,698.56

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Solution

The fourth proportional to 16,147.84, 22,255.68 and 15,698.56 is: 21,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.84 : 22,255.68 = 15,698.56 : x
  2. Step 2: Convert to fraction form
    16,147.84/22,255.68 = 15,698.56/x
  3. Step 3: Cross multiply
    16,147.84x = 22,255.68 × 15,698.56
  4. Step 4: Simplify right side
    16,147.84x = 349,382,127.82
  5. Step 5: Solve for x
    x = 349,382,127.82/16,147.84
  6. Step 6: Final answer
    x = 21,636.46

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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.