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Finding the Fourth Proportional to 13,298.63, 19,947.94 and 4,064.63

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Solution

The fourth proportional to 13,298.63, 19,947.94 and 4,064.63 is: 6,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,298.63 : 19,947.94 = 4,064.63 : x
  2. Step 2: Convert to fraction form
    13,298.63/19,947.94 = 4,064.63/x
  3. Step 3: Cross multiply
    13,298.63x = 19,947.94 × 4,064.63
  4. Step 4: Simplify right side
    13,298.63x = 81,080,885.46
  5. Step 5: Solve for x
    x = 81,080,885.46/13,298.63
  6. Step 6: Final answer
    x = 6,096.94

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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.