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Finding the Fourth Proportional to 21,665.62, 32,499.59 and 6,875.70

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Solution

The fourth proportional to 21,665.62, 32,499.59 and 6,875.70 is: 10,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.62 : 32,499.59 = 6,875.70 : x
  2. Step 2: Convert to fraction form
    21,665.62/32,499.59 = 6,875.70/x
  3. Step 3: Cross multiply
    21,665.62x = 32,499.59 × 6,875.70
  4. Step 4: Simplify right side
    21,665.62x = 223,457,234.09
  5. Step 5: Solve for x
    x = 223,457,234.09/21,665.62
  6. Step 6: Final answer
    x = 10,313.91

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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.