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Finding the Fourth Proportional to 14,478.51, 21,717.75 and 5,113.44

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Solution

The fourth proportional to 14,478.51, 21,717.75 and 5,113.44 is: 7,670.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.51 : 21,717.75 = 5,113.44 : x
  2. Step 2: Convert to fraction form
    14,478.51/21,717.75 = 5,113.44/x
  3. Step 3: Cross multiply
    14,478.51x = 21,717.75 × 5,113.44
  4. Step 4: Simplify right side
    14,478.51x = 111,052,302.97
  5. Step 5: Solve for x
    x = 111,052,302.97/14,478.51
  6. Step 6: Final answer
    x = 7,670.15

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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.