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Finding the Fourth Proportional to 15,697.50, 23,537.02 and 6,337.82

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Solution

The fourth proportional to 15,697.50, 23,537.02 and 6,337.82 is: 9,503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.50 : 23,537.02 = 6,337.82 : x
  2. Step 2: Convert to fraction form
    15,697.50/23,537.02 = 6,337.82/x
  3. Step 3: Cross multiply
    15,697.50x = 23,537.02 × 6,337.82
  4. Step 4: Simplify right side
    15,697.50x = 149,173,396.10
  5. Step 5: Solve for x
    x = 149,173,396.10/15,697.50
  6. Step 6: Final answer
    x = 9,503.00

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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.