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Finding the Fourth Proportional to 17,812.53, 24,582.02 and 9,854.62

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Solution

The fourth proportional to 17,812.53, 24,582.02 and 9,854.62 is: 13,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,812.53 : 24,582.02 = 9,854.62 : x
  2. Step 2: Convert to fraction form
    17,812.53/24,582.02 = 9,854.62/x
  3. Step 3: Cross multiply
    17,812.53x = 24,582.02 × 9,854.62
  4. Step 4: Simplify right side
    17,812.53x = 242,246,355.20
  5. Step 5: Solve for x
    x = 242,246,355.20/17,812.53
  6. Step 6: Final answer
    x = 13,599.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.