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Finding the Fourth Proportional to 27,322.21, 40,938.02 and 9,543.32

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Solution

The fourth proportional to 27,322.21, 40,938.02 and 9,543.32 is: 14,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,322.21 : 40,938.02 = 9,543.32 : x
  2. Step 2: Convert to fraction form
    27,322.21/40,938.02 = 9,543.32/x
  3. Step 3: Cross multiply
    27,322.21x = 40,938.02 × 9,543.32
  4. Step 4: Simplify right side
    27,322.21x = 390,684,625.03
  5. Step 5: Solve for x
    x = 390,684,625.03/27,322.21
  6. Step 6: Final answer
    x = 14,299.16

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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.