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Finding the Fourth Proportional to 30,952.20, 42,712.83 and 16,804.74

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Solution

The fourth proportional to 30,952.20, 42,712.83 and 16,804.74 is: 23,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.20 : 42,712.83 = 16,804.74 : x
  2. Step 2: Convert to fraction form
    30,952.20/42,712.83 = 16,804.74/x
  3. Step 3: Cross multiply
    30,952.20x = 42,712.83 × 16,804.74
  4. Step 4: Simplify right side
    30,952.20x = 717,778,002.81
  5. Step 5: Solve for x
    x = 717,778,002.81/30,952.20
  6. Step 6: Final answer
    x = 23,189.89

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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.