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Finding the Fourth Proportional to 16,054, 22,154.52 and 9,767.56

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Solution

The fourth proportional to 16,054, 22,154.52 and 9,767.56 is: 13,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054 : 22,154.52 = 9,767.56 : x
  2. Step 2: Convert to fraction form
    16,054/22,154.52 = 9,767.56/x
  3. Step 3: Cross multiply
    16,054x = 22,154.52 × 9,767.56
  4. Step 4: Simplify right side
    16,054x = 216,395,603.37
  5. Step 5: Solve for x
    x = 216,395,603.37/16,054
  6. Step 6: Final answer
    x = 13,479.23

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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.