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Finding the Fourth Proportional to 16,510.48, 22,784.04 and 9,058

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Solution

The fourth proportional to 16,510.48, 22,784.04 and 9,058 is: 12,499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.48 : 22,784.04 = 9,058 : x
  2. Step 2: Convert to fraction form
    16,510.48/22,784.04 = 9,058/x
  3. Step 3: Cross multiply
    16,510.48x = 22,784.04 × 9,058
  4. Step 4: Simplify right side
    16,510.48x = 206,377,834.32
  5. Step 5: Solve for x
    x = 206,377,834.32/16,510.48
  6. Step 6: Final answer
    x = 12,499.81

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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.