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Finding the Fourth Proportional to 13,869.70, 19,143.74 and 8,561.46

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Solution

The fourth proportional to 13,869.70, 19,143.74 and 8,561.46 is: 11,817.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869.70 : 19,143.74 = 8,561.46 : x
  2. Step 2: Convert to fraction form
    13,869.70/19,143.74 = 8,561.46/x
  3. Step 3: Cross multiply
    13,869.70x = 19,143.74 × 8,561.46
  4. Step 4: Simplify right side
    13,869.70x = 163,898,457.45
  5. Step 5: Solve for x
    x = 163,898,457.45/13,869.70
  6. Step 6: Final answer
    x = 11,817.02

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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.