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Finding the Fourth Proportional to 14,072.86, 21,116.58 and 10,209.16

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Solution

The fourth proportional to 14,072.86, 21,116.58 and 10,209.16 is: 15,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,072.86 : 21,116.58 = 10,209.16 : x
  2. Step 2: Convert to fraction form
    14,072.86/21,116.58 = 10,209.16/x
  3. Step 3: Cross multiply
    14,072.86x = 21,116.58 × 10,209.16
  4. Step 4: Simplify right side
    14,072.86x = 215,582,543.87
  5. Step 5: Solve for x
    x = 215,582,543.87/14,072.86
  6. Step 6: Final answer
    x = 15,319.03

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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.