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Finding the Fourth Proportional to 19,737.76, 27,238.49 and 10,785.64

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Solution

The fourth proportional to 19,737.76, 27,238.49 and 10,785.64 is: 14,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,737.76 : 27,238.49 = 10,785.64 : x
  2. Step 2: Convert to fraction form
    19,737.76/27,238.49 = 10,785.64/x
  3. Step 3: Cross multiply
    19,737.76x = 27,238.49 × 10,785.64
  4. Step 4: Simplify right side
    19,737.76x = 293,784,547.28
  5. Step 5: Solve for x
    x = 293,784,547.28/19,737.76
  6. Step 6: Final answer
    x = 14,884.39

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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.