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Finding the Fourth Proportional to 14,496.24, 21,735.63 and 7,913.28

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Solution

The fourth proportional to 14,496.24, 21,735.63 and 7,913.28 is: 11,865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.24 : 21,735.63 = 7,913.28 : x
  2. Step 2: Convert to fraction form
    14,496.24/21,735.63 = 7,913.28/x
  3. Step 3: Cross multiply
    14,496.24x = 21,735.63 × 7,913.28
  4. Step 4: Simplify right side
    14,496.24x = 172,000,126.17
  5. Step 5: Solve for x
    x = 172,000,126.17/14,496.24
  6. Step 6: Final answer
    x = 11,865.15

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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.