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Finding the Fourth Proportional to 21,907.08, 32,861.10 and 7,116

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Solution

The fourth proportional to 21,907.08, 32,861.10 and 7,116 is: 10,674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907.08 : 32,861.10 = 7,116 : x
  2. Step 2: Convert to fraction form
    21,907.08/32,861.10 = 7,116/x
  3. Step 3: Cross multiply
    21,907.08x = 32,861.10 × 7,116
  4. Step 4: Simplify right side
    21,907.08x = 233,839,587.60
  5. Step 5: Solve for x
    x = 233,839,587.60/21,907.08
  6. Step 6: Final answer
    x = 10,674.16

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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.