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Finding the Fourth Proportional to 19,785, 27,303.30 and 10,953

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Solution

The fourth proportional to 19,785, 27,303.30 and 10,953 is: 15,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785 : 27,303.30 = 10,953 : x
  2. Step 2: Convert to fraction form
    19,785/27,303.30 = 10,953/x
  3. Step 3: Cross multiply
    19,785x = 27,303.30 × 10,953
  4. Step 4: Simplify right side
    19,785x = 299,053,044.90
  5. Step 5: Solve for x
    x = 299,053,044.90/19,785
  6. Step 6: Final answer
    x = 15,115.14

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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.