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Finding the Fourth Proportional to 17,788.81, 24,548.22 and 9,830.87

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Solution

The fourth proportional to 17,788.81, 24,548.22 and 9,830.87 is: 13,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,788.81 : 24,548.22 = 9,830.87 : x
  2. Step 2: Convert to fraction form
    17,788.81/24,548.22 = 9,830.87/x
  3. Step 3: Cross multiply
    17,788.81x = 24,548.22 × 9,830.87
  4. Step 4: Simplify right side
    17,788.81x = 241,330,359.55
  5. Step 5: Solve for x
    x = 241,330,359.55/17,788.81
  6. Step 6: Final answer
    x = 13,566.41

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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.