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Finding the Fourth Proportional to 16,531, 22,816.72 and 9,461.50

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Solution

The fourth proportional to 16,531, 22,816.72 and 9,461.50 is: 13,059.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,531 : 22,816.72 = 9,461.50 : x
  2. Step 2: Convert to fraction form
    16,531/22,816.72 = 9,461.50/x
  3. Step 3: Cross multiply
    16,531x = 22,816.72 × 9,461.50
  4. Step 4: Simplify right side
    16,531x = 215,880,396.28
  5. Step 5: Solve for x
    x = 215,880,396.28/16,531
  6. Step 6: Final answer
    x = 13,059.13

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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.