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Finding the Fourth Proportional to 15,342.94, 23,019.27 and 5,482

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Solution

The fourth proportional to 15,342.94, 23,019.27 and 5,482 is: 8,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342.94 : 23,019.27 = 5,482 : x
  2. Step 2: Convert to fraction form
    15,342.94/23,019.27 = 5,482/x
  3. Step 3: Cross multiply
    15,342.94x = 23,019.27 × 5,482
  4. Step 4: Simplify right side
    15,342.94x = 126,191,638.14
  5. Step 5: Solve for x
    x = 126,191,638.14/15,342.94
  6. Step 6: Final answer
    x = 8,224.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.