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Finding the Fourth Proportional to 21,105.05, 31,646.75 and 7,060.05

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Solution

The fourth proportional to 21,105.05, 31,646.75 and 7,060.05 is: 10,586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105.05 : 31,646.75 = 7,060.05 : x
  2. Step 2: Convert to fraction form
    21,105.05/31,646.75 = 7,060.05/x
  3. Step 3: Cross multiply
    21,105.05x = 31,646.75 × 7,060.05
  4. Step 4: Simplify right side
    21,105.05x = 223,427,602.04
  5. Step 5: Solve for x
    x = 223,427,602.04/21,105.05
  6. Step 6: Final answer
    x = 10,586.45

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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.