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Finding the Fourth Proportional to 16,402.84, 24,592.34 and 6,539.16

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Solution

The fourth proportional to 16,402.84, 24,592.34 and 6,539.16 is: 9,803.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.84 : 24,592.34 = 6,539.16 : x
  2. Step 2: Convert to fraction form
    16,402.84/24,592.34 = 6,539.16/x
  3. Step 3: Cross multiply
    16,402.84x = 24,592.34 × 6,539.16
  4. Step 4: Simplify right side
    16,402.84x = 160,813,246.03
  5. Step 5: Solve for x
    x = 160,813,246.03/16,402.84
  6. Step 6: Final answer
    x = 9,803.99

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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.