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Finding the Fourth Proportional to 14,254.70, 19,674.18 and 9,400.88

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Solution

The fourth proportional to 14,254.70, 19,674.18 and 9,400.88 is: 12,974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.70 : 19,674.18 = 9,400.88 : x
  2. Step 2: Convert to fraction form
    14,254.70/19,674.18 = 9,400.88/x
  3. Step 3: Cross multiply
    14,254.70x = 19,674.18 × 9,400.88
  4. Step 4: Simplify right side
    14,254.70x = 184,954,506.91
  5. Step 5: Solve for x
    x = 184,954,506.91/14,254.70
  6. Step 6: Final answer
    x = 12,974.99

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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.