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Finding the Fourth Proportional to 14,049.51, 21,084.63 and 6,653.95

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Solution

The fourth proportional to 14,049.51, 21,084.63 and 6,653.95 is: 9,985.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049.51 : 21,084.63 = 6,653.95 : x
  2. Step 2: Convert to fraction form
    14,049.51/21,084.63 = 6,653.95/x
  3. Step 3: Cross multiply
    14,049.51x = 21,084.63 × 6,653.95
  4. Step 4: Simplify right side
    14,049.51x = 140,296,073.79
  5. Step 5: Solve for x
    x = 140,296,073.79/14,049.51
  6. Step 6: Final answer
    x = 9,985.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.