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Finding the Fourth Proportional to 30,786.42, 42,484.77 and 17,357.70

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Solution

The fourth proportional to 30,786.42, 42,484.77 and 17,357.70 is: 23,953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,786.42 : 42,484.77 = 17,357.70 : x
  2. Step 2: Convert to fraction form
    30,786.42/42,484.77 = 17,357.70/x
  3. Step 3: Cross multiply
    30,786.42x = 42,484.77 × 17,357.70
  4. Step 4: Simplify right side
    30,786.42x = 737,437,892.23
  5. Step 5: Solve for x
    x = 737,437,892.23/30,786.42
  6. Step 6: Final answer
    x = 23,953.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.