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Finding the Fourth Proportional to 18,005.38, 24,847.49 and 10,047.94

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Solution

The fourth proportional to 18,005.38, 24,847.49 and 10,047.94 is: 13,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,005.38 : 24,847.49 = 10,047.94 : x
  2. Step 2: Convert to fraction form
    18,005.38/24,847.49 = 10,047.94/x
  3. Step 3: Cross multiply
    18,005.38x = 24,847.49 × 10,047.94
  4. Step 4: Simplify right side
    18,005.38x = 249,666,051.67
  5. Step 5: Solve for x
    x = 249,666,051.67/18,005.38
  6. Step 6: Final answer
    x = 13,866.19

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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.