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Finding the Fourth Proportional to 19,877.84, 27,422.40 and 12,322.16

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Solution

The fourth proportional to 19,877.84, 27,422.40 and 12,322.16 is: 16,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.84 : 27,422.40 = 12,322.16 : x
  2. Step 2: Convert to fraction form
    19,877.84/27,422.40 = 12,322.16/x
  3. Step 3: Cross multiply
    19,877.84x = 27,422.40 × 12,322.16
  4. Step 4: Simplify right side
    19,877.84x = 337,903,200.38
  5. Step 5: Solve for x
    x = 337,903,200.38/19,877.84
  6. Step 6: Final answer
    x = 16,998.99

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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.