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Finding the Fourth Proportional to 16,412, 22,648.56 and 8,960

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Solution

The fourth proportional to 16,412, 22,648.56 and 8,960 is: 12,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412 : 22,648.56 = 8,960 : x
  2. Step 2: Convert to fraction form
    16,412/22,648.56 = 8,960/x
  3. Step 3: Cross multiply
    16,412x = 22,648.56 × 8,960
  4. Step 4: Simplify right side
    16,412x = 202,931,097.60
  5. Step 5: Solve for x
    x = 202,931,097.60/16,412
  6. Step 6: Final answer
    x = 12,364.80

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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.