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Finding the Fourth Proportional to 14,602.32, 21,905.46 and 4,738.38

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Solution

The fourth proportional to 14,602.32, 21,905.46 and 4,738.38 is: 7,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.32 : 21,905.46 = 4,738.38 : x
  2. Step 2: Convert to fraction form
    14,602.32/21,905.46 = 4,738.38/x
  3. Step 3: Cross multiply
    14,602.32x = 21,905.46 × 4,738.38
  4. Step 4: Simplify right side
    14,602.32x = 103,796,393.55
  5. Step 5: Solve for x
    x = 103,796,393.55/14,602.32
  6. Step 6: Final answer
    x = 7,108.21

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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.