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Finding the Fourth Proportional to 16,357, 22,573.14 and 8,905.48

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Solution

The fourth proportional to 16,357, 22,573.14 and 8,905.48 is: 12,289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357 : 22,573.14 = 8,905.48 : x
  2. Step 2: Convert to fraction form
    16,357/22,573.14 = 8,905.48/x
  3. Step 3: Cross multiply
    16,357x = 22,573.14 × 8,905.48
  4. Step 4: Simplify right side
    16,357x = 201,024,646.81
  5. Step 5: Solve for x
    x = 201,024,646.81/16,357
  6. Step 6: Final answer
    x = 12,289.82

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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.