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Finding the Fourth Proportional to 23,884.81, 35,828.01 and 10,737.22

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Solution

The fourth proportional to 23,884.81, 35,828.01 and 10,737.22 is: 16,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.81 : 35,828.01 = 10,737.22 : x
  2. Step 2: Convert to fraction form
    23,884.81/35,828.01 = 10,737.22/x
  3. Step 3: Cross multiply
    23,884.81x = 35,828.01 × 10,737.22
  4. Step 4: Simplify right side
    23,884.81x = 384,692,992.71
  5. Step 5: Solve for x
    x = 384,692,992.71/23,884.81
  6. Step 6: Final answer
    x = 16,106.18

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Why These Related Problems?

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