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Finding the Fourth Proportional to 14,616.17, 21,929.35 and 4,622.46

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Solution

The fourth proportional to 14,616.17, 21,929.35 and 4,622.46 is: 6,935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.17 : 21,929.35 = 4,622.46 : x
  2. Step 2: Convert to fraction form
    14,616.17/21,929.35 = 4,622.46/x
  3. Step 3: Cross multiply
    14,616.17x = 21,929.35 × 4,622.46
  4. Step 4: Simplify right side
    14,616.17x = 101,367,543.20
  5. Step 5: Solve for x
    x = 101,367,543.20/14,616.17
  6. Step 6: Final answer
    x = 6,935.30

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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.