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Finding the Fourth Proportional to 16,492, 22,759.04 and 9,868

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Solution

The fourth proportional to 16,492, 22,759.04 and 9,868 is: 13,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492 : 22,759.04 = 9,868 : x
  2. Step 2: Convert to fraction form
    16,492/22,759.04 = 9,868/x
  3. Step 3: Cross multiply
    16,492x = 22,759.04 × 9,868
  4. Step 4: Simplify right side
    16,492x = 224,586,206.72
  5. Step 5: Solve for x
    x = 224,586,206.72/16,492
  6. Step 6: Final answer
    x = 13,617.89

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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.