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Finding the Fourth Proportional to 16,507.90, 22,751.14 and 12,024.54

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Solution

The fourth proportional to 16,507.90, 22,751.14 and 12,024.54 is: 16,572.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.90 : 22,751.14 = 12,024.54 : x
  2. Step 2: Convert to fraction form
    16,507.90/22,751.14 = 12,024.54/x
  3. Step 3: Cross multiply
    16,507.90x = 22,751.14 × 12,024.54
  4. Step 4: Simplify right side
    16,507.90x = 273,571,992.98
  5. Step 5: Solve for x
    x = 273,571,992.98/16,507.90
  6. Step 6: Final answer
    x = 16,572.19

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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.