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Finding the Fourth Proportional to 14,953.52, 22,432.74 and 5,091.80

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Solution

The fourth proportional to 14,953.52, 22,432.74 and 5,091.80 is: 7,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,953.52 : 22,432.74 = 5,091.80 : x
  2. Step 2: Convert to fraction form
    14,953.52/22,432.74 = 5,091.80/x
  3. Step 3: Cross multiply
    14,953.52x = 22,432.74 × 5,091.80
  4. Step 4: Simplify right side
    14,953.52x = 114,223,025.53
  5. Step 5: Solve for x
    x = 114,223,025.53/14,953.52
  6. Step 6: Final answer
    x = 7,638.54

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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.