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Finding the Fourth Proportional to 27,688.29, 41,533.02 and 9,920.10

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Solution

The fourth proportional to 27,688.29, 41,533.02 and 9,920.10 is: 14,880.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,688.29 : 41,533.02 = 9,920.10 : x
  2. Step 2: Convert to fraction form
    27,688.29/41,533.02 = 9,920.10/x
  3. Step 3: Cross multiply
    27,688.29x = 41,533.02 × 9,920.10
  4. Step 4: Simplify right side
    27,688.29x = 412,011,711.70
  5. Step 5: Solve for x
    x = 412,011,711.70/27,688.29
  6. Step 6: Final answer
    x = 14,880.36

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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.