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Finding the Fourth Proportional to 14,525.10, 20,037.66 and 9,210.66

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Solution

The fourth proportional to 14,525.10, 20,037.66 and 9,210.66 is: 12,706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,525.10 : 20,037.66 = 9,210.66 : x
  2. Step 2: Convert to fraction form
    14,525.10/20,037.66 = 9,210.66/x
  3. Step 3: Cross multiply
    14,525.10x = 20,037.66 × 9,210.66
  4. Step 4: Simplify right side
    14,525.10x = 184,560,073.46
  5. Step 5: Solve for x
    x = 184,560,073.46/14,525.10
  6. Step 6: Final answer
    x = 12,706.29

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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.