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Finding the Fourth Proportional to 13,302.62, 19,953.81 and 5,094.62

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Solution

The fourth proportional to 13,302.62, 19,953.81 and 5,094.62 is: 7,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.62 : 19,953.81 = 5,094.62 : x
  2. Step 2: Convert to fraction form
    13,302.62/19,953.81 = 5,094.62/x
  3. Step 3: Cross multiply
    13,302.62x = 19,953.81 × 5,094.62
  4. Step 4: Simplify right side
    13,302.62x = 101,657,079.50
  5. Step 5: Solve for x
    x = 101,657,079.50/13,302.62
  6. Step 6: Final answer
    x = 7,641.88

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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.