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Finding the Fourth Proportional to 19,965.29, 27,547.70 and 11,466.77

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Solution

The fourth proportional to 19,965.29, 27,547.70 and 11,466.77 is: 15,821.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,965.29 : 27,547.70 = 11,466.77 : x
  2. Step 2: Convert to fraction form
    19,965.29/27,547.70 = 11,466.77/x
  3. Step 3: Cross multiply
    19,965.29x = 27,547.70 × 11,466.77
  4. Step 4: Simplify right side
    19,965.29x = 315,882,944.86
  5. Step 5: Solve for x
    x = 315,882,944.86/19,965.29
  6. Step 6: Final answer
    x = 15,821.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.