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Finding the Fourth Proportional to 16,272.80, 22,453.80 and 9,557

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Solution

The fourth proportional to 16,272.80, 22,453.80 and 9,557 is: 13,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,272.80 : 22,453.80 = 9,557 : x
  2. Step 2: Convert to fraction form
    16,272.80/22,453.80 = 9,557/x
  3. Step 3: Cross multiply
    16,272.80x = 22,453.80 × 9,557
  4. Step 4: Simplify right side
    16,272.80x = 214,590,966.60
  5. Step 5: Solve for x
    x = 214,590,966.60/16,272.80
  6. Step 6: Final answer
    x = 13,187.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.