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Finding the Fourth Proportional to 16,207, 22,375.40 and 10,627.72

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Solution

The fourth proportional to 16,207, 22,375.40 and 10,627.72 is: 14,672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207 : 22,375.40 = 10,627.72 : x
  2. Step 2: Convert to fraction form
    16,207/22,375.40 = 10,627.72/x
  3. Step 3: Cross multiply
    16,207x = 22,375.40 × 10,627.72
  4. Step 4: Simplify right side
    16,207x = 237,799,486.09
  5. Step 5: Solve for x
    x = 237,799,486.09/16,207
  6. Step 6: Final answer
    x = 14,672.64

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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.