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Finding the Fourth Proportional to 16,164.53, 22,303.69 and 9,448.85

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Solution

The fourth proportional to 16,164.53, 22,303.69 and 9,448.85 is: 13,037.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.53 : 22,303.69 = 9,448.85 : x
  2. Step 2: Convert to fraction form
    16,164.53/22,303.69 = 9,448.85/x
  3. Step 3: Cross multiply
    16,164.53x = 22,303.69 × 9,448.85
  4. Step 4: Simplify right side
    16,164.53x = 210,744,253.39
  5. Step 5: Solve for x
    x = 210,744,253.39/16,164.53
  6. Step 6: Final answer
    x = 13,037.45

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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.