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Finding the Fourth Proportional to 14,274.49, 19,697.02 and 7,985.29

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Solution

The fourth proportional to 14,274.49, 19,697.02 and 7,985.29 is: 11,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.49 : 19,697.02 = 7,985.29 : x
  2. Step 2: Convert to fraction form
    14,274.49/19,697.02 = 7,985.29/x
  3. Step 3: Cross multiply
    14,274.49x = 19,697.02 × 7,985.29
  4. Step 4: Simplify right side
    14,274.49x = 157,286,416.84
  5. Step 5: Solve for x
    x = 157,286,416.84/14,274.49
  6. Step 6: Final answer
    x = 11,018.71

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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.