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Finding the Fourth Proportional to 19,696.60, 29,544.90 and 9,837.40

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Solution

The fourth proportional to 19,696.60, 29,544.90 and 9,837.40 is: 14,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696.60 : 29,544.90 = 9,837.40 : x
  2. Step 2: Convert to fraction form
    19,696.60/29,544.90 = 9,837.40/x
  3. Step 3: Cross multiply
    19,696.60x = 29,544.90 × 9,837.40
  4. Step 4: Simplify right side
    19,696.60x = 290,644,999.26
  5. Step 5: Solve for x
    x = 290,644,999.26/19,696.60
  6. Step 6: Final answer
    x = 14,756.10

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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.