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Finding the Fourth Proportional to 19,708.47, 29,553.93 and 7,225.20

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Solution

The fourth proportional to 19,708.47, 29,553.93 and 7,225.20 is: 10,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708.47 : 29,553.93 = 7,225.20 : x
  2. Step 2: Convert to fraction form
    19,708.47/29,553.93 = 7,225.20/x
  3. Step 3: Cross multiply
    19,708.47x = 29,553.93 × 7,225.20
  4. Step 4: Simplify right side
    19,708.47x = 213,533,055.04
  5. Step 5: Solve for x
    x = 213,533,055.04/19,708.47
  6. Step 6: Final answer
    x = 10,834.58

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