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Finding the Fourth Proportional to 21,006.50, 28,989.06 and 11,574.86

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Solution

The fourth proportional to 21,006.50, 28,989.06 and 11,574.86 is: 15,973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006.50 : 28,989.06 = 11,574.86 : x
  2. Step 2: Convert to fraction form
    21,006.50/28,989.06 = 11,574.86/x
  3. Step 3: Cross multiply
    21,006.50x = 28,989.06 × 11,574.86
  4. Step 4: Simplify right side
    21,006.50x = 335,544,311.03
  5. Step 5: Solve for x
    x = 335,544,311.03/21,006.50
  6. Step 6: Final answer
    x = 15,973.36

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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.