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Finding the Fourth Proportional to 14,656, 20,217.36 and 9,342.40

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Solution

The fourth proportional to 14,656, 20,217.36 and 9,342.40 is: 12,887.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656 : 20,217.36 = 9,342.40 : x
  2. Step 2: Convert to fraction form
    14,656/20,217.36 = 9,342.40/x
  3. Step 3: Cross multiply
    14,656x = 20,217.36 × 9,342.40
  4. Step 4: Simplify right side
    14,656x = 188,878,664.06
  5. Step 5: Solve for x
    x = 188,878,664.06/14,656
  6. Step 6: Final answer
    x = 12,887.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.