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Finding the Fourth Proportional to 30,724.63, 42,404.02 and 17,298.51

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Solution

The fourth proportional to 30,724.63, 42,404.02 and 17,298.51 is: 23,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,724.63 : 42,404.02 = 17,298.51 : x
  2. Step 2: Convert to fraction form
    30,724.63/42,404.02 = 17,298.51/x
  3. Step 3: Cross multiply
    30,724.63x = 42,404.02 × 17,298.51
  4. Step 4: Simplify right side
    30,724.63x = 733,526,259.05
  5. Step 5: Solve for x
    x = 733,526,259.05/30,724.63
  6. Step 6: Final answer
    x = 23,874.21

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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.