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Finding the Fourth Proportional to 19,933, 29,884.51 and 12,038.20

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Solution

The fourth proportional to 19,933, 29,884.51 and 12,038.20 is: 18,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,933 : 29,884.51 = 12,038.20 : x
  2. Step 2: Convert to fraction form
    19,933/29,884.51 = 12,038.20/x
  3. Step 3: Cross multiply
    19,933x = 29,884.51 × 12,038.20
  4. Step 4: Simplify right side
    19,933x = 359,755,708.28
  5. Step 5: Solve for x
    x = 359,755,708.28/19,933
  6. Step 6: Final answer
    x = 18,048.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.