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Finding the Fourth Proportional to 19,749.81, 27,254.74 and 14,718.40

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Solution

The fourth proportional to 19,749.81, 27,254.74 and 14,718.40 is: 20,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,749.81 : 27,254.74 = 14,718.40 : x
  2. Step 2: Convert to fraction form
    19,749.81/27,254.74 = 14,718.40/x
  3. Step 3: Cross multiply
    19,749.81x = 27,254.74 × 14,718.40
  4. Step 4: Simplify right side
    19,749.81x = 401,146,165.22
  5. Step 5: Solve for x
    x = 401,146,165.22/19,749.81
  6. Step 6: Final answer
    x = 20,311.39

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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.