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Finding the Fourth Proportional to 30,932, 42,686.29 and 16,784.94

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Solution

The fourth proportional to 30,932, 42,686.29 and 16,784.94 is: 23,163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,932 : 42,686.29 = 16,784.94 : x
  2. Step 2: Convert to fraction form
    30,932/42,686.29 = 16,784.94/x
  3. Step 3: Cross multiply
    30,932x = 42,686.29 × 16,784.94
  4. Step 4: Simplify right side
    30,932x = 716,486,816.47
  5. Step 5: Solve for x
    x = 716,486,816.47/30,932
  6. Step 6: Final answer
    x = 23,163.29

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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.