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Finding the Fourth Proportional to 21,830.86, 32,747.10 and 7,039.98

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Solution

The fourth proportional to 21,830.86, 32,747.10 and 7,039.98 is: 10,560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.86 : 32,747.10 = 7,039.98 : x
  2. Step 2: Convert to fraction form
    21,830.86/32,747.10 = 7,039.98/x
  3. Step 3: Cross multiply
    21,830.86x = 32,747.10 × 7,039.98
  4. Step 4: Simplify right side
    21,830.86x = 230,538,929.06
  5. Step 5: Solve for x
    x = 230,538,929.06/21,830.86
  6. Step 6: Final answer
    x = 10,560.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.