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Finding the Fourth Proportional to 30,442.47, 42,006.97 and 16,828.68

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Solution

The fourth proportional to 30,442.47, 42,006.97 and 16,828.68 is: 23,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.47 : 42,006.97 = 16,828.68 : x
  2. Step 2: Convert to fraction form
    30,442.47/42,006.97 = 16,828.68/x
  3. Step 3: Cross multiply
    30,442.47x = 42,006.97 × 16,828.68
  4. Step 4: Simplify right side
    30,442.47x = 706,921,855.90
  5. Step 5: Solve for x
    x = 706,921,855.90/30,442.47
  6. Step 6: Final answer
    x = 23,221.57

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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.