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Finding the Fourth Proportional to 16,709.44, 23,089.44 and 15,899.68

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Solution

The fourth proportional to 16,709.44, 23,089.44 and 15,899.68 is: 21,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.44 : 23,089.44 = 15,899.68 : x
  2. Step 2: Convert to fraction form
    16,709.44/23,089.44 = 15,899.68/x
  3. Step 3: Cross multiply
    16,709.44x = 23,089.44 × 15,899.68
  4. Step 4: Simplify right side
    16,709.44x = 367,114,707.38
  5. Step 5: Solve for x
    x = 367,114,707.38/16,709.44
  6. Step 6: Final answer
    x = 21,970.50

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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.