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Finding the Fourth Proportional to 16,101.48, 22,200.73 and 10,434.16

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Solution

The fourth proportional to 16,101.48, 22,200.73 and 10,434.16 is: 14,386.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.48 : 22,200.73 = 10,434.16 : x
  2. Step 2: Convert to fraction form
    16,101.48/22,200.73 = 10,434.16/x
  3. Step 3: Cross multiply
    16,101.48x = 22,200.73 × 10,434.16
  4. Step 4: Simplify right side
    16,101.48x = 231,645,968.94
  5. Step 5: Solve for x
    x = 231,645,968.94/16,101.48
  6. Step 6: Final answer
    x = 14,386.63

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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.