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Finding the Fourth Proportional to 30,570.64, 42,189.24 and 17,146.20

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Solution

The fourth proportional to 30,570.64, 42,189.24 and 17,146.20 is: 23,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,570.64 : 42,189.24 = 17,146.20 : x
  2. Step 2: Convert to fraction form
    30,570.64/42,189.24 = 17,146.20/x
  3. Step 3: Cross multiply
    30,570.64x = 42,189.24 × 17,146.20
  4. Step 4: Simplify right side
    30,570.64x = 723,385,146.89
  5. Step 5: Solve for x
    x = 723,385,146.89/30,570.64
  6. Step 6: Final answer
    x = 23,662.74

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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.