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Finding the Fourth Proportional to 19,803.70, 27,329.02 and 10,851.76

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Solution

The fourth proportional to 19,803.70, 27,329.02 and 10,851.76 is: 14,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,803.70 : 27,329.02 = 10,851.76 : x
  2. Step 2: Convert to fraction form
    19,803.70/27,329.02 = 10,851.76/x
  3. Step 3: Cross multiply
    19,803.70x = 27,329.02 × 10,851.76
  4. Step 4: Simplify right side
    19,803.70x = 296,567,966.08
  5. Step 5: Solve for x
    x = 296,567,966.08/19,803.70
  6. Step 6: Final answer
    x = 14,975.38

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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.