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Finding the Fourth Proportional to 16,348.62, 24,522.36 and 9,730.50

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Solution

The fourth proportional to 16,348.62, 24,522.36 and 9,730.50 is: 14,595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,348.62 : 24,522.36 = 9,730.50 : x
  2. Step 2: Convert to fraction form
    16,348.62/24,522.36 = 9,730.50/x
  3. Step 3: Cross multiply
    16,348.62x = 24,522.36 × 9,730.50
  4. Step 4: Simplify right side
    16,348.62x = 238,614,823.98
  5. Step 5: Solve for x
    x = 238,614,823.98/16,348.62
  6. Step 6: Final answer
    x = 14,595.41

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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.