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Finding the Fourth Proportional to 13,258.86, 19,892.02 and 4,494.44

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Solution

The fourth proportional to 13,258.86, 19,892.02 and 4,494.44 is: 6,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.86 : 19,892.02 = 4,494.44 : x
  2. Step 2: Convert to fraction form
    13,258.86/19,892.02 = 4,494.44/x
  3. Step 3: Cross multiply
    13,258.86x = 19,892.02 × 4,494.44
  4. Step 4: Simplify right side
    13,258.86x = 89,403,490.37
  5. Step 5: Solve for x
    x = 89,403,490.37/13,258.86
  6. Step 6: Final answer
    x = 6,742.92

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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.