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Finding the Fourth Proportional to 14,605.86, 21,909.69 and 9,923.86

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Solution

The fourth proportional to 14,605.86, 21,909.69 and 9,923.86 is: 14,886.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,605.86 : 21,909.69 = 9,923.86 : x
  2. Step 2: Convert to fraction form
    14,605.86/21,909.69 = 9,923.86/x
  3. Step 3: Cross multiply
    14,605.86x = 21,909.69 × 9,923.86
  4. Step 4: Simplify right side
    14,605.86x = 217,428,696.20
  5. Step 5: Solve for x
    x = 217,428,696.20/14,605.86
  6. Step 6: Final answer
    x = 14,886.40

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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.