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Finding the Fourth Proportional to 14,946.64, 22,415.32 and 4,949.48

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Solution

The fourth proportional to 14,946.64, 22,415.32 and 4,949.48 is: 7,422.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946.64 : 22,415.32 = 4,949.48 : x
  2. Step 2: Convert to fraction form
    14,946.64/22,415.32 = 4,949.48/x
  3. Step 3: Cross multiply
    14,946.64x = 22,415.32 × 4,949.48
  4. Step 4: Simplify right side
    14,946.64x = 110,944,178.03
  5. Step 5: Solve for x
    x = 110,944,178.03/14,946.64
  6. Step 6: Final answer
    x = 7,422.68

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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.