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Finding the Fourth Proportional to 14,998.62, 20,706 and 9,696.45

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Solution

The fourth proportional to 14,998.62, 20,706 and 9,696.45 is: 13,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,998.62 : 20,706 = 9,696.45 : x
  2. Step 2: Convert to fraction form
    14,998.62/20,706 = 9,696.45/x
  3. Step 3: Cross multiply
    14,998.62x = 20,706 × 9,696.45
  4. Step 4: Simplify right side
    14,998.62x = 200,774,693.70
  5. Step 5: Solve for x
    x = 200,774,693.70/14,998.62
  6. Step 6: Final answer
    x = 13,386.21

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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.