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Finding the Fourth Proportional to 21,897.56, 32,846.40 and 9,409.52

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Solution

The fourth proportional to 21,897.56, 32,846.40 and 9,409.52 is: 14,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,897.56 : 32,846.40 = 9,409.52 : x
  2. Step 2: Convert to fraction form
    21,897.56/32,846.40 = 9,409.52/x
  3. Step 3: Cross multiply
    21,897.56x = 32,846.40 × 9,409.52
  4. Step 4: Simplify right side
    21,897.56x = 309,068,857.73
  5. Step 5: Solve for x
    x = 309,068,857.73/21,897.56
  6. Step 6: Final answer
    x = 14,114.31

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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.