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Finding the Fourth Proportional to 14,467.60, 21,696 and 6,148.25

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Solution

The fourth proportional to 14,467.60, 21,696 and 6,148.25 is: 9,220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467.60 : 21,696 = 6,148.25 : x
  2. Step 2: Convert to fraction form
    14,467.60/21,696 = 6,148.25/x
  3. Step 3: Cross multiply
    14,467.60x = 21,696 × 6,148.25
  4. Step 4: Simplify right side
    14,467.60x = 133,392,432
  5. Step 5: Solve for x
    x = 133,392,432/14,467.60
  6. Step 6: Final answer
    x = 9,220.08

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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.