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Finding the Fourth Proportional to 14,146.93, 21,222.97 and 4,659.77

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Solution

The fourth proportional to 14,146.93, 21,222.97 and 4,659.77 is: 6,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146.93 : 21,222.97 = 4,659.77 : x
  2. Step 2: Convert to fraction form
    14,146.93/21,222.97 = 4,659.77/x
  3. Step 3: Cross multiply
    14,146.93x = 21,222.97 × 4,659.77
  4. Step 4: Simplify right side
    14,146.93x = 98,894,083.86
  5. Step 5: Solve for x
    x = 98,894,083.86/14,146.93
  6. Step 6: Final answer
    x = 6,990.50

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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.