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Finding the Fourth Proportional to 16,073.72, 24,090.06 and 13,985

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Solution

The fourth proportional to 16,073.72, 24,090.06 and 13,985 is: 20,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,073.72 : 24,090.06 = 13,985 : x
  2. Step 2: Convert to fraction form
    16,073.72/24,090.06 = 13,985/x
  3. Step 3: Cross multiply
    16,073.72x = 24,090.06 × 13,985
  4. Step 4: Simplify right side
    16,073.72x = 336,899,489.10
  5. Step 5: Solve for x
    x = 336,899,489.10/16,073.72
  6. Step 6: Final answer
    x = 20,959.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.