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Finding the Fourth Proportional to 16,434.20, 24,653.76 and 6,045.16

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Solution

The fourth proportional to 16,434.20, 24,653.76 and 6,045.16 is: 9,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.20 : 24,653.76 = 6,045.16 : x
  2. Step 2: Convert to fraction form
    16,434.20/24,653.76 = 6,045.16/x
  3. Step 3: Cross multiply
    16,434.20x = 24,653.76 × 6,045.16
  4. Step 4: Simplify right side
    16,434.20x = 149,035,923.80
  5. Step 5: Solve for x
    x = 149,035,923.80/16,434.20
  6. Step 6: Final answer
    x = 9,068.64

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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.