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Finding the Fourth Proportional to 14,081.42, 19,432.14 and 8,492.42

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Solution

The fourth proportional to 14,081.42, 19,432.14 and 8,492.42 is: 11,719.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,081.42 : 19,432.14 = 8,492.42 : x
  2. Step 2: Convert to fraction form
    14,081.42/19,432.14 = 8,492.42/x
  3. Step 3: Cross multiply
    14,081.42x = 19,432.14 × 8,492.42
  4. Step 4: Simplify right side
    14,081.42x = 165,025,894.38
  5. Step 5: Solve for x
    x = 165,025,894.38/14,081.42
  6. Step 6: Final answer
    x = 11,719.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.