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Finding the Fourth Proportional to 16,510.26, 22,784.07 and 8,956.74

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Solution

The fourth proportional to 16,510.26, 22,784.07 and 8,956.74 is: 12,360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.26 : 22,784.07 = 8,956.74 : x
  2. Step 2: Convert to fraction form
    16,510.26/22,784.07 = 8,956.74/x
  3. Step 3: Cross multiply
    16,510.26x = 22,784.07 × 8,956.74
  4. Step 4: Simplify right side
    16,510.26x = 204,070,991.13
  5. Step 5: Solve for x
    x = 204,070,991.13/16,510.26
  6. Step 6: Final answer
    x = 12,360.25

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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.