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Finding the Fourth Proportional to 17,884.50, 24,681.07 and 9,818.52

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Solution

The fourth proportional to 17,884.50, 24,681.07 and 9,818.52 is: 13,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.50 : 24,681.07 = 9,818.52 : x
  2. Step 2: Convert to fraction form
    17,884.50/24,681.07 = 9,818.52/x
  3. Step 3: Cross multiply
    17,884.50x = 24,681.07 × 9,818.52
  4. Step 4: Simplify right side
    17,884.50x = 242,331,579.42
  5. Step 5: Solve for x
    x = 242,331,579.42/17,884.50
  6. Step 6: Final answer
    x = 13,549.81

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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.