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Finding the Fourth Proportional to 15,710.97, 23,570.21 and 4,617.42

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Solution

The fourth proportional to 15,710.97, 23,570.21 and 4,617.42 is: 6,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.97 : 23,570.21 = 4,617.42 : x
  2. Step 2: Convert to fraction form
    15,710.97/23,570.21 = 4,617.42/x
  3. Step 3: Cross multiply
    15,710.97x = 23,570.21 × 4,617.42
  4. Step 4: Simplify right side
    15,710.97x = 108,833,559.06
  5. Step 5: Solve for x
    x = 108,833,559.06/15,710.97
  6. Step 6: Final answer
    x = 6,927.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.