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Finding the Fourth Proportional to 13,656.64, 20,484.82 and 6,259

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Solution

The fourth proportional to 13,656.64, 20,484.82 and 6,259 is: 9,388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656.64 : 20,484.82 = 6,259 : x
  2. Step 2: Convert to fraction form
    13,656.64/20,484.82 = 6,259/x
  3. Step 3: Cross multiply
    13,656.64x = 20,484.82 × 6,259
  4. Step 4: Simplify right side
    13,656.64x = 128,214,488.38
  5. Step 5: Solve for x
    x = 128,214,488.38/13,656.64
  6. Step 6: Final answer
    x = 9,388.44

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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.