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Finding the Fourth Proportional to 19,896.78, 27,457.05 and 10,822.04

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Solution

The fourth proportional to 19,896.78, 27,457.05 and 10,822.04 is: 14,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,896.78 : 27,457.05 = 10,822.04 : x
  2. Step 2: Convert to fraction form
    19,896.78/27,457.05 = 10,822.04/x
  3. Step 3: Cross multiply
    19,896.78x = 27,457.05 × 10,822.04
  4. Step 4: Simplify right side
    19,896.78x = 297,141,293.38
  5. Step 5: Solve for x
    x = 297,141,293.38/19,896.78
  6. Step 6: Final answer
    x = 14,934.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.