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Finding the Fourth Proportional to 14,014, 19,367.20 and 11,492.16

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Solution

The fourth proportional to 14,014, 19,367.20 and 11,492.16 is: 15,882.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014 : 19,367.20 = 11,492.16 : x
  2. Step 2: Convert to fraction form
    14,014/19,367.20 = 11,492.16/x
  3. Step 3: Cross multiply
    14,014x = 19,367.20 × 11,492.16
  4. Step 4: Simplify right side
    14,014x = 222,570,961.15
  5. Step 5: Solve for x
    x = 222,570,961.15/14,014
  6. Step 6: Final answer
    x = 15,882.04

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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.