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Finding the Fourth Proportional to 12,838.64, 19,257.90 and 4,074.24

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Solution

The fourth proportional to 12,838.64, 19,257.90 and 4,074.24 is: 6,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.64 : 19,257.90 = 4,074.24 : x
  2. Step 2: Convert to fraction form
    12,838.64/19,257.90 = 4,074.24/x
  3. Step 3: Cross multiply
    12,838.64x = 19,257.90 × 4,074.24
  4. Step 4: Simplify right side
    12,838.64x = 78,461,306.50
  5. Step 5: Solve for x
    x = 78,461,306.50/12,838.64
  6. Step 6: Final answer
    x = 6,111.34

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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.