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Finding the Fourth Proportional to 14,411.58, 19,887.03 and 8,123.82

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Solution

The fourth proportional to 14,411.58, 19,887.03 and 8,123.82 is: 11,210.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.58 : 19,887.03 = 8,123.82 : x
  2. Step 2: Convert to fraction form
    14,411.58/19,887.03 = 8,123.82/x
  3. Step 3: Cross multiply
    14,411.58x = 19,887.03 × 8,123.82
  4. Step 4: Simplify right side
    14,411.58x = 161,558,652.05
  5. Step 5: Solve for x
    x = 161,558,652.05/14,411.58
  6. Step 6: Final answer
    x = 11,210.34

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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.