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Finding the Fourth Proportional to 29,597.30, 40,844.13 and 16,851

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Solution

The fourth proportional to 29,597.30, 40,844.13 and 16,851 is: 23,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,597.30 : 40,844.13 = 16,851 : x
  2. Step 2: Convert to fraction form
    29,597.30/40,844.13 = 16,851/x
  3. Step 3: Cross multiply
    29,597.30x = 40,844.13 × 16,851
  4. Step 4: Simplify right side
    29,597.30x = 688,264,434.63
  5. Step 5: Solve for x
    x = 688,264,434.63/29,597.30
  6. Step 6: Final answer
    x = 23,254.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.