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Finding the Fourth Proportional to 21,527.77, 29,707.39 and 11,967.63

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Solution

The fourth proportional to 21,527.77, 29,707.39 and 11,967.63 is: 16,514.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,527.77 : 29,707.39 = 11,967.63 : x
  2. Step 2: Convert to fraction form
    21,527.77/29,707.39 = 11,967.63/x
  3. Step 3: Cross multiply
    21,527.77x = 29,707.39 × 11,967.63
  4. Step 4: Simplify right side
    21,527.77x = 355,527,126.05
  5. Step 5: Solve for x
    x = 355,527,126.05/21,527.77
  6. Step 6: Final answer
    x = 16,514.82

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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.