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Finding the Fourth Proportional to 21,267.12, 31,741.44 and 19,867.44

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Solution

The fourth proportional to 21,267.12, 31,741.44 and 19,867.44 is: 29,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,267.12 : 31,741.44 = 19,867.44 : x
  2. Step 2: Convert to fraction form
    21,267.12/31,741.44 = 19,867.44/x
  3. Step 3: Cross multiply
    21,267.12x = 31,741.44 × 19,867.44
  4. Step 4: Simplify right side
    21,267.12x = 630,621,154.71
  5. Step 5: Solve for x
    x = 630,621,154.71/21,267.12
  6. Step 6: Final answer
    x = 29,652.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.