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Finding the Fourth Proportional to 16,173.74, 22,316.42 and 9,458.06

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Solution

The fourth proportional to 16,173.74, 22,316.42 and 9,458.06 is: 13,050.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,173.74 : 22,316.42 = 9,458.06 : x
  2. Step 2: Convert to fraction form
    16,173.74/22,316.42 = 9,458.06/x
  3. Step 3: Cross multiply
    16,173.74x = 22,316.42 × 9,458.06
  4. Step 4: Simplify right side
    16,173.74x = 211,070,039.35
  5. Step 5: Solve for x
    x = 211,070,039.35/16,173.74
  6. Step 6: Final answer
    x = 13,050.17

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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.