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Finding the Fourth Proportional to 14,746.00, 22,101.44 and 8,493.06

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Solution

The fourth proportional to 14,746.00, 22,101.44 and 8,493.06 is: 12,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,746.00 : 22,101.44 = 8,493.06 : x
  2. Step 2: Convert to fraction form
    14,746.00/22,101.44 = 8,493.06/x
  3. Step 3: Cross multiply
    14,746.00x = 22,101.44 × 8,493.06
  4. Step 4: Simplify right side
    14,746.00x = 187,708,817.50
  5. Step 5: Solve for x
    x = 187,708,817.50/14,746.00
  6. Step 6: Final answer
    x = 12,729.47

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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.