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Finding the Fourth Proportional to 16,359, 24,537.96 and 5,266.32

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Solution

The fourth proportional to 16,359, 24,537.96 and 5,266.32 is: 7,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,359 : 24,537.96 = 5,266.32 : x
  2. Step 2: Convert to fraction form
    16,359/24,537.96 = 5,266.32/x
  3. Step 3: Cross multiply
    16,359x = 24,537.96 × 5,266.32
  4. Step 4: Simplify right side
    16,359x = 129,224,749.51
  5. Step 5: Solve for x
    x = 129,224,749.51/16,359
  6. Step 6: Final answer
    x = 7,899.31

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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.