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Finding the Fourth Proportional to 17,812.68, 24,582 and 9,855.48

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Solution

The fourth proportional to 17,812.68, 24,582 and 9,855.48 is: 13,600.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,812.68 : 24,582 = 9,855.48 : x
  2. Step 2: Convert to fraction form
    17,812.68/24,582 = 9,855.48/x
  3. Step 3: Cross multiply
    17,812.68x = 24,582 × 9,855.48
  4. Step 4: Simplify right side
    17,812.68x = 242,267,409.36
  5. Step 5: Solve for x
    x = 242,267,409.36/17,812.68
  6. Step 6: Final answer
    x = 13,600.84

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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.