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Finding the Fourth Proportional to 30,641.56, 42,284.40 and 17,214.28

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Solution

The fourth proportional to 30,641.56, 42,284.40 and 17,214.28 is: 23,755.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.56 : 42,284.40 = 17,214.28 : x
  2. Step 2: Convert to fraction form
    30,641.56/42,284.40 = 17,214.28/x
  3. Step 3: Cross multiply
    30,641.56x = 42,284.40 × 17,214.28
  4. Step 4: Simplify right side
    30,641.56x = 727,895,501.23
  5. Step 5: Solve for x
    x = 727,895,501.23/30,641.56
  6. Step 6: Final answer
    x = 23,755.17

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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.