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Finding the Fourth Proportional to 15,741.90, 23,607.18 and 5,209.98

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Solution

The fourth proportional to 15,741.90, 23,607.18 and 5,209.98 is: 7,813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741.90 : 23,607.18 = 5,209.98 : x
  2. Step 2: Convert to fraction form
    15,741.90/23,607.18 = 5,209.98/x
  3. Step 3: Cross multiply
    15,741.90x = 23,607.18 × 5,209.98
  4. Step 4: Simplify right side
    15,741.90x = 122,992,935.66
  5. Step 5: Solve for x
    x = 122,992,935.66/15,741.90
  6. Step 6: Final answer
    x = 7,813.09

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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.