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Finding the Fourth Proportional to 30,976.09, 42,746.07 and 16,828.90

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Solution

The fourth proportional to 30,976.09, 42,746.07 and 16,828.90 is: 23,223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,976.09 : 42,746.07 = 16,828.90 : x
  2. Step 2: Convert to fraction form
    30,976.09/42,746.07 = 16,828.90/x
  3. Step 3: Cross multiply
    30,976.09x = 42,746.07 × 16,828.90
  4. Step 4: Simplify right side
    30,976.09x = 719,369,337.42
  5. Step 5: Solve for x
    x = 719,369,337.42/30,976.09
  6. Step 6: Final answer
    x = 23,223.37

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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.