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Finding the Fourth Proportional to 14,492.14, 19,994.46 and 8,117.76

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Solution

The fourth proportional to 14,492.14, 19,994.46 and 8,117.76 is: 11,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492.14 : 19,994.46 = 8,117.76 : x
  2. Step 2: Convert to fraction form
    14,492.14/19,994.46 = 8,117.76/x
  3. Step 3: Cross multiply
    14,492.14x = 19,994.46 × 8,117.76
  4. Step 4: Simplify right side
    14,492.14x = 162,310,227.61
  5. Step 5: Solve for x
    x = 162,310,227.61/14,492.14
  6. Step 6: Final answer
    x = 11,199.88

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