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Finding the Fourth Proportional to 16,890.50, 25,339.54 and 7,656.50

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Solution

The fourth proportional to 16,890.50, 25,339.54 and 7,656.50 is: 11,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,890.50 : 25,339.54 = 7,656.50 : x
  2. Step 2: Convert to fraction form
    16,890.50/25,339.54 = 7,656.50/x
  3. Step 3: Cross multiply
    16,890.50x = 25,339.54 × 7,656.50
  4. Step 4: Simplify right side
    16,890.50x = 194,012,188.01
  5. Step 5: Solve for x
    x = 194,012,188.01/16,890.50
  6. Step 6: Final answer
    x = 11,486.47

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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.