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Finding the Fourth Proportional to 21,454.14, 32,173.11 and 10,357.14

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Solution

The fourth proportional to 21,454.14, 32,173.11 and 10,357.14 is: 15,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,454.14 : 32,173.11 = 10,357.14 : x
  2. Step 2: Convert to fraction form
    21,454.14/32,173.11 = 10,357.14/x
  3. Step 3: Cross multiply
    21,454.14x = 32,173.11 × 10,357.14
  4. Step 4: Simplify right side
    21,454.14x = 333,221,404.51
  5. Step 5: Solve for x
    x = 333,221,404.51/21,454.14
  6. Step 6: Final answer
    x = 15,531.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.