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Finding the Fourth Proportional to 21,810.69, 32,709.10 and 7,016.17

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Solution

The fourth proportional to 21,810.69, 32,709.10 and 7,016.17 is: 10,522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,810.69 : 32,709.10 = 7,016.17 : x
  2. Step 2: Convert to fraction form
    21,810.69/32,709.10 = 7,016.17/x
  3. Step 3: Cross multiply
    21,810.69x = 32,709.10 × 7,016.17
  4. Step 4: Simplify right side
    21,810.69x = 229,492,451.37
  5. Step 5: Solve for x
    x = 229,492,451.37/21,810.69
  6. Step 6: Final answer
    x = 10,522.02

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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.