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Finding the Fourth Proportional to 21,932.50, 32,901.69 and 7,697.60

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Solution

The fourth proportional to 21,932.50, 32,901.69 and 7,697.60 is: 11,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,932.50 : 32,901.69 = 7,697.60 : x
  2. Step 2: Convert to fraction form
    21,932.50/32,901.69 = 7,697.60/x
  3. Step 3: Cross multiply
    21,932.50x = 32,901.69 × 7,697.60
  4. Step 4: Simplify right side
    21,932.50x = 253,264,018.00
  5. Step 5: Solve for x
    x = 253,264,018.00/21,932.50
  6. Step 6: Final answer
    x = 11,547.43

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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.