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Finding the Fourth Proportional to 14,324, 21,485.12 and 4,461.88

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Solution

The fourth proportional to 14,324, 21,485.12 and 4,461.88 is: 6,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324 : 21,485.12 = 4,461.88 : x
  2. Step 2: Convert to fraction form
    14,324/21,485.12 = 4,461.88/x
  3. Step 3: Cross multiply
    14,324x = 21,485.12 × 4,461.88
  4. Step 4: Simplify right side
    14,324x = 95,864,027.23
  5. Step 5: Solve for x
    x = 95,864,027.23/14,324
  6. Step 6: Final answer
    x = 6,692.55

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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.