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Finding the Fourth Proportional to 14,381.50, 19,849.22 and 8,719.34

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Solution

The fourth proportional to 14,381.50, 19,849.22 and 8,719.34 is: 12,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.50 : 19,849.22 = 8,719.34 : x
  2. Step 2: Convert to fraction form
    14,381.50/19,849.22 = 8,719.34/x
  3. Step 3: Cross multiply
    14,381.50x = 19,849.22 × 8,719.34
  4. Step 4: Simplify right side
    14,381.50x = 173,071,955.07
  5. Step 5: Solve for x
    x = 173,071,955.07/14,381.50
  6. Step 6: Final answer
    x = 12,034.35

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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.