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Finding the Fourth Proportional to 14,492.82, 19,999.71 and 8,523.12

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Solution

The fourth proportional to 14,492.82, 19,999.71 and 8,523.12 is: 11,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492.82 : 19,999.71 = 8,523.12 : x
  2. Step 2: Convert to fraction form
    14,492.82/19,999.71 = 8,523.12/x
  3. Step 3: Cross multiply
    14,492.82x = 19,999.71 × 8,523.12
  4. Step 4: Simplify right side
    14,492.82x = 170,459,928.30
  5. Step 5: Solve for x
    x = 170,459,928.30/14,492.82
  6. Step 6: Final answer
    x = 11,761.68

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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.