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Finding the Fourth Proportional to 14,373.64, 21,560.30 and 3,985

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Solution

The fourth proportional to 14,373.64, 21,560.30 and 3,985 is: 5,977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,373.64 : 21,560.30 = 3,985 : x
  2. Step 2: Convert to fraction form
    14,373.64/21,560.30 = 3,985/x
  3. Step 3: Cross multiply
    14,373.64x = 21,560.30 × 3,985
  4. Step 4: Simplify right side
    14,373.64x = 85,917,795.50
  5. Step 5: Solve for x
    x = 85,917,795.50/14,373.64
  6. Step 6: Final answer
    x = 5,977.46

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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.