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Finding the Fourth Proportional to 16,526, 24,784.14 and 4,836.44

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Solution

The fourth proportional to 16,526, 24,784.14 and 4,836.44 is: 7,253.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,526 : 24,784.14 = 4,836.44 : x
  2. Step 2: Convert to fraction form
    16,526/24,784.14 = 4,836.44/x
  3. Step 3: Cross multiply
    16,526x = 24,784.14 × 4,836.44
  4. Step 4: Simplify right side
    16,526x = 119,867,006.06
  5. Step 5: Solve for x
    x = 119,867,006.06/16,526
  6. Step 6: Final answer
    x = 7,253.24

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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.