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Finding the Fourth Proportional to 26,322.48, 39,489.96 and 7,854

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Solution

The fourth proportional to 26,322.48, 39,489.96 and 7,854 is: 11,782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,322.48 : 39,489.96 = 7,854 : x
  2. Step 2: Convert to fraction form
    26,322.48/39,489.96 = 7,854/x
  3. Step 3: Cross multiply
    26,322.48x = 39,489.96 × 7,854
  4. Step 4: Simplify right side
    26,322.48x = 310,154,145.84
  5. Step 5: Solve for x
    x = 310,154,145.84/26,322.48
  6. Step 6: Final answer
    x = 11,782.86

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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.