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Finding the Fourth Proportional to 14,484, 21,734.16 and 14,373.84

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Solution

The fourth proportional to 14,484, 21,734.16 and 14,373.84 is: 21,568.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,484 : 21,734.16 = 14,373.84 : x
  2. Step 2: Convert to fraction form
    14,484/21,734.16 = 14,373.84/x
  3. Step 3: Cross multiply
    14,484x = 21,734.16 × 14,373.84
  4. Step 4: Simplify right side
    14,484x = 312,403,338.37
  5. Step 5: Solve for x
    x = 312,403,338.37/14,484
  6. Step 6: Final answer
    x = 21,568.86

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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.