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Finding the Fourth Proportional to 11,911.50, 17,862.79 and 9,565.74

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Solution

The fourth proportional to 11,911.50, 17,862.79 and 9,565.74 is: 14,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.50 : 17,862.79 = 9,565.74 : x
  2. Step 2: Convert to fraction form
    11,911.50/17,862.79 = 9,565.74/x
  3. Step 3: Cross multiply
    11,911.50x = 17,862.79 × 9,565.74
  4. Step 4: Simplify right side
    11,911.50x = 170,870,804.81
  5. Step 5: Solve for x
    x = 170,870,804.81/11,911.50
  6. Step 6: Final answer
    x = 14,345.03

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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.