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Finding the Fourth Proportional to 21,697.02, 32,539.14 and 9,216.95

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Solution

The fourth proportional to 21,697.02, 32,539.14 and 9,216.95 is: 13,822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.02 : 32,539.14 = 9,216.95 : x
  2. Step 2: Convert to fraction form
    21,697.02/32,539.14 = 9,216.95/x
  3. Step 3: Cross multiply
    21,697.02x = 32,539.14 × 9,216.95
  4. Step 4: Simplify right side
    21,697.02x = 299,911,463.73
  5. Step 5: Solve for x
    x = 299,911,463.73/21,697.02
  6. Step 6: Final answer
    x = 13,822.70

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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.