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Finding the Fourth Proportional to 16,334.70, 22,539.54 and 9,259.75

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Solution

The fourth proportional to 16,334.70, 22,539.54 and 9,259.75 is: 12,777.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.70 : 22,539.54 = 9,259.75 : x
  2. Step 2: Convert to fraction form
    16,334.70/22,539.54 = 9,259.75/x
  3. Step 3: Cross multiply
    16,334.70x = 22,539.54 × 9,259.75
  4. Step 4: Simplify right side
    16,334.70x = 208,710,505.52
  5. Step 5: Solve for x
    x = 208,710,505.52/16,334.70
  6. Step 6: Final answer
    x = 12,777.13

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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.