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Finding the Fourth Proportional to 30,652.14, 42,299.01 and 17,223.06

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Solution

The fourth proportional to 30,652.14, 42,299.01 and 17,223.06 is: 23,767.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652.14 : 42,299.01 = 17,223.06 : x
  2. Step 2: Convert to fraction form
    30,652.14/42,299.01 = 17,223.06/x
  3. Step 3: Cross multiply
    30,652.14x = 42,299.01 × 17,223.06
  4. Step 4: Simplify right side
    30,652.14x = 728,518,387.17
  5. Step 5: Solve for x
    x = 728,518,387.17/30,652.14
  6. Step 6: Final answer
    x = 23,767.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.