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Finding the Fourth Proportional to 16,406.34, 24,608.70 and 4,560.03

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Solution

The fourth proportional to 16,406.34, 24,608.70 and 4,560.03 is: 6,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.34 : 24,608.70 = 4,560.03 : x
  2. Step 2: Convert to fraction form
    16,406.34/24,608.70 = 4,560.03/x
  3. Step 3: Cross multiply
    16,406.34x = 24,608.70 × 4,560.03
  4. Step 4: Simplify right side
    16,406.34x = 112,216,410.26
  5. Step 5: Solve for x
    x = 112,216,410.26/16,406.34
  6. Step 6: Final answer
    x = 6,839.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.