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Finding the Fourth Proportional to 27,036.58, 40,572.95 and 9,506.34

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Solution

The fourth proportional to 27,036.58, 40,572.95 and 9,506.34 is: 14,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,036.58 : 40,572.95 = 9,506.34 : x
  2. Step 2: Convert to fraction form
    27,036.58/40,572.95 = 9,506.34/x
  3. Step 3: Cross multiply
    27,036.58x = 40,572.95 × 9,506.34
  4. Step 4: Simplify right side
    27,036.58x = 385,700,257.50
  5. Step 5: Solve for x
    x = 385,700,257.50/27,036.58
  6. Step 6: Final answer
    x = 14,265.87

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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.