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Finding the Fourth Proportional to 26,431.56, 39,641.58 and 8,901

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Solution

The fourth proportional to 26,431.56, 39,641.58 and 8,901 is: 13,349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,431.56 : 39,641.58 = 8,901 : x
  2. Step 2: Convert to fraction form
    26,431.56/39,641.58 = 8,901/x
  3. Step 3: Cross multiply
    26,431.56x = 39,641.58 × 8,901
  4. Step 4: Simplify right side
    26,431.56x = 352,849,703.58
  5. Step 5: Solve for x
    x = 352,849,703.58/26,431.56
  6. Step 6: Final answer
    x = 13,349.56

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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.