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Finding the Fourth Proportional to 27,820.68, 41,731.02 and 9,365.64

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Solution

The fourth proportional to 27,820.68, 41,731.02 and 9,365.64 is: 14,048.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820.68 : 41,731.02 = 9,365.64 : x
  2. Step 2: Convert to fraction form
    27,820.68/41,731.02 = 9,365.64/x
  3. Step 3: Cross multiply
    27,820.68x = 41,731.02 × 9,365.64
  4. Step 4: Simplify right side
    27,820.68x = 390,837,710.15
  5. Step 5: Solve for x
    x = 390,837,710.15/27,820.68
  6. Step 6: Final answer
    x = 14,048.46

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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.