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Finding the Fourth Proportional to 16,364, 22,582.56 and 8,912

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Solution

The fourth proportional to 16,364, 22,582.56 and 8,912 is: 12,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364 : 22,582.56 = 8,912 : x
  2. Step 2: Convert to fraction form
    16,364/22,582.56 = 8,912/x
  3. Step 3: Cross multiply
    16,364x = 22,582.56 × 8,912
  4. Step 4: Simplify right side
    16,364x = 201,255,774.72
  5. Step 5: Solve for x
    x = 201,255,774.72/16,364
  6. Step 6: Final answer
    x = 12,298.69

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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.