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Finding the Fourth Proportional to 17,756.35, 24,503.38 and 9,798.50

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Solution

The fourth proportional to 17,756.35, 24,503.38 and 9,798.50 is: 13,521.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,756.35 : 24,503.38 = 9,798.50 : x
  2. Step 2: Convert to fraction form
    17,756.35/24,503.38 = 9,798.50/x
  3. Step 3: Cross multiply
    17,756.35x = 24,503.38 × 9,798.50
  4. Step 4: Simplify right side
    17,756.35x = 240,096,405.69
  5. Step 5: Solve for x
    x = 240,096,405.69/17,756.35
  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.