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Finding the Fourth Proportional to 30,969.19, 42,737.29 and 16,821.91

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Solution

The fourth proportional to 30,969.19, 42,737.29 and 16,821.91 is: 23,214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.19 : 42,737.29 = 16,821.91 : x
  2. Step 2: Convert to fraction form
    30,969.19/42,737.29 = 16,821.91/x
  3. Step 3: Cross multiply
    30,969.19x = 42,737.29 × 16,821.91
  4. Step 4: Simplify right side
    30,969.19x = 718,922,846.02
  5. Step 5: Solve for x
    x = 718,922,846.02/30,969.19
  6. Step 6: Final answer
    x = 23,214.13

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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.