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Finding the Fourth Proportional to 16,447.80, 24,599.70 and 14,705.40

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Solution

The fourth proportional to 16,447.80, 24,599.70 and 14,705.40 is: 21,993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.80 : 24,599.70 = 14,705.40 : x
  2. Step 2: Convert to fraction form
    16,447.80/24,599.70 = 14,705.40/x
  3. Step 3: Cross multiply
    16,447.80x = 24,599.70 × 14,705.40
  4. Step 4: Simplify right side
    16,447.80x = 361,748,428.38
  5. Step 5: Solve for x
    x = 361,748,428.38/16,447.80
  6. Step 6: Final answer
    x = 21,993.73

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Why These Related Problems?

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