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Finding the Fourth Proportional to 14,938, 22,411.06 and 4,549.76

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Solution

The fourth proportional to 14,938, 22,411.06 and 4,549.76 is: 6,825.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,938 : 22,411.06 = 4,549.76 : x
  2. Step 2: Convert to fraction form
    14,938/22,411.06 = 4,549.76/x
  3. Step 3: Cross multiply
    14,938x = 22,411.06 × 4,549.76
  4. Step 4: Simplify right side
    14,938x = 101,964,944.35
  5. Step 5: Solve for x
    x = 101,964,944.35/14,938
  6. Step 6: Final answer
    x = 6,825.88

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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.