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Finding the Fourth Proportional to 16,388.68, 24,552.18 and 9,705.40

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Solution

The fourth proportional to 16,388.68, 24,552.18 and 9,705.40 is: 14,539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,388.68 : 24,552.18 = 9,705.40 : x
  2. Step 2: Convert to fraction form
    16,388.68/24,552.18 = 9,705.40/x
  3. Step 3: Cross multiply
    16,388.68x = 24,552.18 × 9,705.40
  4. Step 4: Simplify right side
    16,388.68x = 238,288,727.77
  5. Step 5: Solve for x
    x = 238,288,727.77/16,388.68
  6. Step 6: Final answer
    x = 14,539.84

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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.