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Finding the Fourth Proportional to 16,818.41, 23,209.41 and 9,748.93

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Solution

The fourth proportional to 16,818.41, 23,209.41 and 9,748.93 is: 13,453.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,818.41 : 23,209.41 = 9,748.93 : x
  2. Step 2: Convert to fraction form
    16,818.41/23,209.41 = 9,748.93/x
  3. Step 3: Cross multiply
    16,818.41x = 23,209.41 × 9,748.93
  4. Step 4: Simplify right side
    16,818.41x = 226,266,913.43
  5. Step 5: Solve for x
    x = 226,266,913.43/16,818.41
  6. Step 6: Final answer
    x = 13,453.53

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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.