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Finding the Fourth Proportional to 11,913.70, 17,870.55 and 9,969.70

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Solution

The fourth proportional to 11,913.70, 17,870.55 and 9,969.70 is: 14,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.70 : 17,870.55 = 9,969.70 : x
  2. Step 2: Convert to fraction form
    11,913.70/17,870.55 = 9,969.70/x
  3. Step 3: Cross multiply
    11,913.70x = 17,870.55 × 9,969.70
  4. Step 4: Simplify right side
    11,913.70x = 178,164,022.34
  5. Step 5: Solve for x
    x = 178,164,022.34/11,913.70
  6. Step 6: Final answer
    x = 14,954.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.