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Finding the Fourth Proportional to 14,972.50, 22,459.83 and 5,738.50

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Solution

The fourth proportional to 14,972.50, 22,459.83 and 5,738.50 is: 8,608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972.50 : 22,459.83 = 5,738.50 : x
  2. Step 2: Convert to fraction form
    14,972.50/22,459.83 = 5,738.50/x
  3. Step 3: Cross multiply
    14,972.50x = 22,459.83 × 5,738.50
  4. Step 4: Simplify right side
    14,972.50x = 128,885,734.46
  5. Step 5: Solve for x
    x = 128,885,734.46/14,972.50
  6. Step 6: Final answer
    x = 8,608.16

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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.