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Finding the Fourth Proportional to 16,506.42, 24,721.50 and 9,918.09

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Solution

The fourth proportional to 16,506.42, 24,721.50 and 9,918.09 is: 14,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.42 : 24,721.50 = 9,918.09 : x
  2. Step 2: Convert to fraction form
    16,506.42/24,721.50 = 9,918.09/x
  3. Step 3: Cross multiply
    16,506.42x = 24,721.50 × 9,918.09
  4. Step 4: Simplify right side
    16,506.42x = 245,190,061.94
  5. Step 5: Solve for x
    x = 245,190,061.94/16,506.42
  6. Step 6: Final answer
    x = 14,854.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.