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Finding the Fourth Proportional to 16,412.25, 24,490.30 and 14,645.10

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Solution

The fourth proportional to 16,412.25, 24,490.30 and 14,645.10 is: 21,853.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.25 : 24,490.30 = 14,645.10 : x
  2. Step 2: Convert to fraction form
    16,412.25/24,490.30 = 14,645.10/x
  3. Step 3: Cross multiply
    16,412.25x = 24,490.30 × 14,645.10
  4. Step 4: Simplify right side
    16,412.25x = 358,662,892.53
  5. Step 5: Solve for x
    x = 358,662,892.53/16,412.25
  6. Step 6: Final answer
    x = 21,853.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.