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Finding the Fourth Proportional to 16,804.44, 23,187.42 and 10,089

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Solution

The fourth proportional to 16,804.44, 23,187.42 and 10,089 is: 13,921.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,804.44 : 23,187.42 = 10,089 : x
  2. Step 2: Convert to fraction form
    16,804.44/23,187.42 = 10,089/x
  3. Step 3: Cross multiply
    16,804.44x = 23,187.42 × 10,089
  4. Step 4: Simplify right side
    16,804.44x = 233,937,880.38
  5. Step 5: Solve for x
    x = 233,937,880.38/16,804.44
  6. Step 6: Final answer
    x = 13,921.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.