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Finding the Fourth Proportional to 14,410.92, 19,887.12 and 8,123.40

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Solution

The fourth proportional to 14,410.92, 19,887.12 and 8,123.40 is: 11,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.92 : 19,887.12 = 8,123.40 : x
  2. Step 2: Convert to fraction form
    14,410.92/19,887.12 = 8,123.40/x
  3. Step 3: Cross multiply
    14,410.92x = 19,887.12 × 8,123.40
  4. Step 4: Simplify right side
    14,410.92x = 161,551,030.61
  5. Step 5: Solve for x
    x = 161,551,030.61/14,410.92
  6. Step 6: Final answer
    x = 11,210.32

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Why These Related Problems?

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