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Finding the Fourth Proportional to 23,054.68, 31,783.38 and 19,484.44

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Solution

The fourth proportional to 23,054.68, 31,783.38 and 19,484.44 is: 26,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,054.68 : 31,783.38 = 19,484.44 : x
  2. Step 2: Convert to fraction form
    23,054.68/31,783.38 = 19,484.44/x
  3. Step 3: Cross multiply
    23,054.68x = 31,783.38 × 19,484.44
  4. Step 4: Simplify right side
    23,054.68x = 619,281,360.61
  5. Step 5: Solve for x
    x = 619,281,360.61/23,054.68
  6. Step 6: Final answer
    x = 26,861.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.