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Finding the Fourth Proportional to 30,736.64, 42,417.54 and 17,991.08

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Solution

The fourth proportional to 30,736.64, 42,417.54 and 17,991.08 is: 24,828.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,736.64 : 42,417.54 = 17,991.08 : x
  2. Step 2: Convert to fraction form
    30,736.64/42,417.54 = 17,991.08/x
  3. Step 3: Cross multiply
    30,736.64x = 42,417.54 × 17,991.08
  4. Step 4: Simplify right side
    30,736.64x = 763,137,355.54
  5. Step 5: Solve for x
    x = 763,137,355.54/30,736.64
  6. Step 6: Final answer
    x = 24,828.26

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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.