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Finding the Fourth Proportional to 16,004.24, 22,085.74 and 9,290.50

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Solution

The fourth proportional to 16,004.24, 22,085.74 and 9,290.50 is: 12,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,004.24 : 22,085.74 = 9,290.50 : x
  2. Step 2: Convert to fraction form
    16,004.24/22,085.74 = 9,290.50/x
  3. Step 3: Cross multiply
    16,004.24x = 22,085.74 × 9,290.50
  4. Step 4: Simplify right side
    16,004.24x = 205,187,471.61
  5. Step 5: Solve for x
    x = 205,187,471.61/16,004.24
  6. Step 6: Final answer
    x = 12,820.82

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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.