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Finding the Fourth Proportional to 16,405.74, 24,608.88 and 9,837.18

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Solution

The fourth proportional to 16,405.74, 24,608.88 and 9,837.18 is: 14,755.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.74 : 24,608.88 = 9,837.18 : x
  2. Step 2: Convert to fraction form
    16,405.74/24,608.88 = 9,837.18/x
  3. Step 3: Cross multiply
    16,405.74x = 24,608.88 × 9,837.18
  4. Step 4: Simplify right side
    16,405.74x = 242,081,982.16
  5. Step 5: Solve for x
    x = 242,081,982.16/16,405.74
  6. Step 6: Final answer
    x = 14,755.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.