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Finding the Fourth Proportional to 10,665.84, 16,021.98 and 10,315.92

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Solution

The fourth proportional to 10,665.84, 16,021.98 and 10,315.92 is: 15,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.84 : 16,021.98 = 10,315.92 : x
  2. Step 2: Convert to fraction form
    10,665.84/16,021.98 = 10,315.92/x
  3. Step 3: Cross multiply
    10,665.84x = 16,021.98 × 10,315.92
  4. Step 4: Simplify right side
    10,665.84x = 165,281,463.92
  5. Step 5: Solve for x
    x = 165,281,463.92/10,665.84
  6. Step 6: Final answer
    x = 15,496.34

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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.