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Finding the Fourth Proportional to 14,665.12, 21,998.64 and 4,276

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Solution

The fourth proportional to 14,665.12, 21,998.64 and 4,276 is: 6,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665.12 : 21,998.64 = 4,276 : x
  2. Step 2: Convert to fraction form
    14,665.12/21,998.64 = 4,276/x
  3. Step 3: Cross multiply
    14,665.12x = 21,998.64 × 4,276
  4. Step 4: Simplify right side
    14,665.12x = 94,066,184.64
  5. Step 5: Solve for x
    x = 94,066,184.64/14,665.12
  6. Step 6: Final answer
    x = 6,414.28

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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.