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Finding the Fourth Proportional to 14,471.83, 21,709.34 and 4,607.65

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Solution

The fourth proportional to 14,471.83, 21,709.34 and 4,607.65 is: 6,911.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.83 : 21,709.34 = 4,607.65 : x
  2. Step 2: Convert to fraction form
    14,471.83/21,709.34 = 4,607.65/x
  3. Step 3: Cross multiply
    14,471.83x = 21,709.34 × 4,607.65
  4. Step 4: Simplify right side
    14,471.83x = 100,029,040.45
  5. Step 5: Solve for x
    x = 100,029,040.45/14,471.83
  6. Step 6: Final answer
    x = 6,911.98

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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.