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Finding the Fourth Proportional to 16,423.40, 24,643.10 and 7,653.80

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Solution

The fourth proportional to 16,423.40, 24,643.10 and 7,653.80 is: 11,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.40 : 24,643.10 = 7,653.80 : x
  2. Step 2: Convert to fraction form
    16,423.40/24,643.10 = 7,653.80/x
  3. Step 3: Cross multiply
    16,423.40x = 24,643.10 × 7,653.80
  4. Step 4: Simplify right side
    16,423.40x = 188,613,358.78
  5. Step 5: Solve for x
    x = 188,613,358.78/16,423.40
  6. Step 6: Final answer
    x = 11,484.43

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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.