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Finding the Fourth Proportional to 17,807.50, 24,574.14 and 9,849.56

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Solution

The fourth proportional to 17,807.50, 24,574.14 and 9,849.56 is: 13,592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,807.50 : 24,574.14 = 9,849.56 : x
  2. Step 2: Convert to fraction form
    17,807.50/24,574.14 = 9,849.56/x
  3. Step 3: Cross multiply
    17,807.50x = 24,574.14 × 9,849.56
  4. Step 4: Simplify right side
    17,807.50x = 242,044,466.38
  5. Step 5: Solve for x
    x = 242,044,466.38/17,807.50
  6. Step 6: Final answer
    x = 13,592.28

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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.