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Finding the Fourth Proportional to 14,267.24, 19,686.64 and 8,135

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Solution

The fourth proportional to 14,267.24, 19,686.64 and 8,135 is: 11,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,267.24 : 19,686.64 = 8,135 : x
  2. Step 2: Convert to fraction form
    14,267.24/19,686.64 = 8,135/x
  3. Step 3: Cross multiply
    14,267.24x = 19,686.64 × 8,135
  4. Step 4: Simplify right side
    14,267.24x = 160,150,816.40
  5. Step 5: Solve for x
    x = 160,150,816.40/14,267.24
  6. Step 6: Final answer
    x = 11,225.07

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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.