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Finding the Fourth Proportional to 13,302.64, 19,956.52 and 5,094

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Solution

The fourth proportional to 13,302.64, 19,956.52 and 5,094 is: 7,641.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.64 : 19,956.52 = 5,094 : x
  2. Step 2: Convert to fraction form
    13,302.64/19,956.52 = 5,094/x
  3. Step 3: Cross multiply
    13,302.64x = 19,956.52 × 5,094
  4. Step 4: Simplify right side
    13,302.64x = 101,658,512.88
  5. Step 5: Solve for x
    x = 101,658,512.88/13,302.64
  6. Step 6: Final answer
    x = 7,641.98

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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.