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Finding the Fourth Proportional to 24,701.20, 37,058.73 and 9,920.50

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Solution

The fourth proportional to 24,701.20, 37,058.73 and 9,920.50 is: 14,883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,701.20 : 37,058.73 = 9,920.50 : x
  2. Step 2: Convert to fraction form
    24,701.20/37,058.73 = 9,920.50/x
  3. Step 3: Cross multiply
    24,701.20x = 37,058.73 × 9,920.50
  4. Step 4: Simplify right side
    24,701.20x = 367,641,130.97
  5. Step 5: Solve for x
    x = 367,641,130.97/24,701.20
  6. Step 6: Final answer
    x = 14,883.53

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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.