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Finding the Fourth Proportional to 27,322.68, 40,984.29 and 7,602.69

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Solution

The fourth proportional to 27,322.68, 40,984.29 and 7,602.69 is: 11,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,322.68 : 40,984.29 = 7,602.69 : x
  2. Step 2: Convert to fraction form
    27,322.68/40,984.29 = 7,602.69/x
  3. Step 3: Cross multiply
    27,322.68x = 40,984.29 × 7,602.69
  4. Step 4: Simplify right side
    27,322.68x = 311,590,851.74
  5. Step 5: Solve for x
    x = 311,590,851.74/27,322.68
  6. Step 6: Final answer
    x = 11,404.11

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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.