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Finding the Fourth Proportional to 14,329.02, 21,499.98 and 7,747.50

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Solution

The fourth proportional to 14,329.02, 21,499.98 and 7,747.50 is: 11,624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,329.02 : 21,499.98 = 7,747.50 : x
  2. Step 2: Convert to fraction form
    14,329.02/21,499.98 = 7,747.50/x
  3. Step 3: Cross multiply
    14,329.02x = 21,499.98 × 7,747.50
  4. Step 4: Simplify right side
    14,329.02x = 166,571,095.05
  5. Step 5: Solve for x
    x = 166,571,095.05/14,329.02
  6. Step 6: Final answer
    x = 11,624.74

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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.