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Finding the Fourth Proportional to 16,510.50, 22,784.49 and 9,058.50

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Solution

The fourth proportional to 16,510.50, 22,784.49 and 9,058.50 is: 12,500.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.50 : 22,784.49 = 9,058.50 : x
  2. Step 2: Convert to fraction form
    16,510.50/22,784.49 = 9,058.50/x
  3. Step 3: Cross multiply
    16,510.50x = 22,784.49 × 9,058.50
  4. Step 4: Simplify right side
    16,510.50x = 206,393,302.67
  5. Step 5: Solve for x
    x = 206,393,302.67/16,510.50
  6. Step 6: Final answer
    x = 12,500.73

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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.