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Finding the Fourth Proportional to 27,624.76, 41,437.14 and 9,156.76

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Solution

The fourth proportional to 27,624.76, 41,437.14 and 9,156.76 is: 13,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,624.76 : 41,437.14 = 9,156.76 : x
  2. Step 2: Convert to fraction form
    27,624.76/41,437.14 = 9,156.76/x
  3. Step 3: Cross multiply
    27,624.76x = 41,437.14 × 9,156.76
  4. Step 4: Simplify right side
    27,624.76x = 379,429,946.07
  5. Step 5: Solve for x
    x = 379,429,946.07/27,624.76
  6. Step 6: Final answer
    x = 13,735.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.