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Finding the Fourth Proportional to 30,634.63, 42,275.07 and 17,021.93

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Solution

The fourth proportional to 30,634.63, 42,275.07 and 17,021.93 is: 23,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,634.63 : 42,275.07 = 17,021.93 : x
  2. Step 2: Convert to fraction form
    30,634.63/42,275.07 = 17,021.93/x
  3. Step 3: Cross multiply
    30,634.63x = 42,275.07 × 17,021.93
  4. Step 4: Simplify right side
    30,634.63x = 719,603,070.91
  5. Step 5: Solve for x
    x = 719,603,070.91/30,634.63
  6. Step 6: Final answer
    x = 23,489.86

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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.