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Finding the Fourth Proportional to 21,101.74, 31,654.28 and 7,061.84

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Solution

The fourth proportional to 21,101.74, 31,654.28 and 7,061.84 is: 10,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,101.74 : 31,654.28 = 7,061.84 : x
  2. Step 2: Convert to fraction form
    21,101.74/31,654.28 = 7,061.84/x
  3. Step 3: Cross multiply
    21,101.74x = 31,654.28 × 7,061.84
  4. Step 4: Simplify right side
    21,101.74x = 223,537,438.76
  5. Step 5: Solve for x
    x = 223,537,438.76/21,101.74
  6. Step 6: Final answer
    x = 10,593.32

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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.