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Finding the Fourth Proportional to 14,463.52, 21,680.49 and 8,210.32

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Solution

The fourth proportional to 14,463.52, 21,680.49 and 8,210.32 is: 12,307.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.52 : 21,680.49 = 8,210.32 : x
  2. Step 2: Convert to fraction form
    14,463.52/21,680.49 = 8,210.32/x
  3. Step 3: Cross multiply
    14,463.52x = 21,680.49 × 8,210.32
  4. Step 4: Simplify right side
    14,463.52x = 178,003,760.66
  5. Step 5: Solve for x
    x = 178,003,760.66/14,463.52
  6. Step 6: Final answer
    x = 12,307.08

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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.