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Finding the Fourth Proportional to 14,340.00, 21,463.94 and 7,659.79

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Solution

The fourth proportional to 14,340.00, 21,463.94 and 7,659.79 is: 11,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340.00 : 21,463.94 = 7,659.79 : x
  2. Step 2: Convert to fraction form
    14,340.00/21,463.94 = 7,659.79/x
  3. Step 3: Cross multiply
    14,340.00x = 21,463.94 × 7,659.79
  4. Step 4: Simplify right side
    14,340.00x = 164,409,275.45
  5. Step 5: Solve for x
    x = 164,409,275.45/14,340.00
  6. Step 6: Final answer
    x = 11,465.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.