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Finding the Fourth Proportional to 14,648.64, 21,969.48 and 6,324.10

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Solution

The fourth proportional to 14,648.64, 21,969.48 and 6,324.10 is: 9,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.64 : 21,969.48 = 6,324.10 : x
  2. Step 2: Convert to fraction form
    14,648.64/21,969.48 = 6,324.10/x
  3. Step 3: Cross multiply
    14,648.64x = 21,969.48 × 6,324.10
  4. Step 4: Simplify right side
    14,648.64x = 138,937,245.26
  5. Step 5: Solve for x
    x = 138,937,245.26/14,648.64
  6. Step 6: Final answer
    x = 9,484.65

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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.