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Finding the Fourth Proportional to 30,800.29, 42,504.31 and 16,653.13

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Solution

The fourth proportional to 30,800.29, 42,504.31 and 16,653.13 is: 22,981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800.29 : 42,504.31 = 16,653.13 : x
  2. Step 2: Convert to fraction form
    30,800.29/42,504.31 = 16,653.13/x
  3. Step 3: Cross multiply
    30,800.29x = 42,504.31 × 16,653.13
  4. Step 4: Simplify right side
    30,800.29x = 707,829,716.72
  5. Step 5: Solve for x
    x = 707,829,716.72/30,800.29
  6. Step 6: Final answer
    x = 22,981.27

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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.