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Finding the Fourth Proportional to 16,406.10, 24,604.62 and 7,045.74

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Solution

The fourth proportional to 16,406.10, 24,604.62 and 7,045.74 is: 10,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.10 : 24,604.62 = 7,045.74 : x
  2. Step 2: Convert to fraction form
    16,406.10/24,604.62 = 7,045.74/x
  3. Step 3: Cross multiply
    16,406.10x = 24,604.62 × 7,045.74
  4. Step 4: Simplify right side
    16,406.10x = 173,357,755.32
  5. Step 5: Solve for x
    x = 173,357,755.32/16,406.10
  6. Step 6: Final answer
    x = 10,566.66

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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.