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Finding the Fourth Proportional to 21,071.80, 31,603.42 and 7,740.22

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Solution

The fourth proportional to 21,071.80, 31,603.42 and 7,740.22 is: 11,608.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,071.80 : 31,603.42 = 7,740.22 : x
  2. Step 2: Convert to fraction form
    21,071.80/31,603.42 = 7,740.22/x
  3. Step 3: Cross multiply
    21,071.80x = 31,603.42 × 7,740.22
  4. Step 4: Simplify right side
    21,071.80x = 244,617,423.55
  5. Step 5: Solve for x
    x = 244,617,423.55/21,071.80
  6. Step 6: Final answer
    x = 11,608.76

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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.