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Finding the Fourth Proportional to 13,002.54, 19,514.74 and 5,612.61

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Solution

The fourth proportional to 13,002.54, 19,514.74 and 5,612.61 is: 8,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.54 : 19,514.74 = 5,612.61 : x
  2. Step 2: Convert to fraction form
    13,002.54/19,514.74 = 5,612.61/x
  3. Step 3: Cross multiply
    13,002.54x = 19,514.74 × 5,612.61
  4. Step 4: Simplify right side
    13,002.54x = 109,528,624.87
  5. Step 5: Solve for x
    x = 109,528,624.87/13,002.54
  6. Step 6: Final answer
    x = 8,423.63

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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.