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Finding the Fourth Proportional to 30,538.41, 42,144.74 and 17,114.00

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Solution

The fourth proportional to 30,538.41, 42,144.74 and 17,114.00 is: 23,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.41 : 42,144.74 = 17,114.00 : x
  2. Step 2: Convert to fraction form
    30,538.41/42,144.74 = 17,114.00/x
  3. Step 3: Cross multiply
    30,538.41x = 42,144.74 × 17,114.00
  4. Step 4: Simplify right side
    30,538.41x = 721,264,848.24
  5. Step 5: Solve for x
    x = 721,264,848.24/30,538.41
  6. Step 6: Final answer
    x = 23,618.28

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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.