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Finding the Fourth Proportional to 27,038.58, 40,575.95 and 9,508.34

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Solution

The fourth proportional to 27,038.58, 40,575.95 and 9,508.34 is: 14,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,038.58 : 40,575.95 = 9,508.34 : x
  2. Step 2: Convert to fraction form
    27,038.58/40,575.95 = 9,508.34/x
  3. Step 3: Cross multiply
    27,038.58x = 40,575.95 × 9,508.34
  4. Step 4: Simplify right side
    27,038.58x = 385,809,928.42
  5. Step 5: Solve for x
    x = 385,809,928.42/27,038.58
  6. Step 6: Final answer
    x = 14,268.87

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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.