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Finding the Fourth Proportional to 17,756.34, 24,503.38 and 9,798.49

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Solution

The fourth proportional to 17,756.34, 24,503.38 and 9,798.49 is: 13,521.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,756.34 : 24,503.38 = 9,798.49 : x
  2. Step 2: Convert to fraction form
    17,756.34/24,503.38 = 9,798.49/x
  3. Step 3: Cross multiply
    17,756.34x = 24,503.38 × 9,798.49
  4. Step 4: Simplify right side
    17,756.34x = 240,096,130.03
  5. Step 5: Solve for x
    x = 240,096,130.03/17,756.34
  6. Step 6: Final answer
    x = 13,521.72

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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.