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Finding the Fourth Proportional to 17,975.21, 24,806.04 and 10,017.17

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Solution

The fourth proportional to 17,975.21, 24,806.04 and 10,017.17 is: 13,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,975.21 : 24,806.04 = 10,017.17 : x
  2. Step 2: Convert to fraction form
    17,975.21/24,806.04 = 10,017.17/x
  3. Step 3: Cross multiply
    17,975.21x = 24,806.04 × 10,017.17
  4. Step 4: Simplify right side
    17,975.21x = 248,486,158.11
  5. Step 5: Solve for x
    x = 248,486,158.11/17,975.21
  6. Step 6: Final answer
    x = 13,823.82

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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.