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Finding the Fourth Proportional to 14,148.76, 21,192.84 and 7,464.14

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Solution

The fourth proportional to 14,148.76, 21,192.84 and 7,464.14 is: 11,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.76 : 21,192.84 = 7,464.14 : x
  2. Step 2: Convert to fraction form
    14,148.76/21,192.84 = 7,464.14/x
  3. Step 3: Cross multiply
    14,148.76x = 21,192.84 × 7,464.14
  4. Step 4: Simplify right side
    14,148.76x = 158,186,324.76
  5. Step 5: Solve for x
    x = 158,186,324.76/14,148.76
  6. Step 6: Final answer
    x = 11,180.23

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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.