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Finding the Fourth Proportional to 16,397.19, 24,590.32 and 5,300.91

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Solution

The fourth proportional to 16,397.19, 24,590.32 and 5,300.91 is: 7,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397.19 : 24,590.32 = 5,300.91 : x
  2. Step 2: Convert to fraction form
    16,397.19/24,590.32 = 5,300.91/x
  3. Step 3: Cross multiply
    16,397.19x = 24,590.32 × 5,300.91
  4. Step 4: Simplify right side
    16,397.19x = 130,351,059.94
  5. Step 5: Solve for x
    x = 130,351,059.94/16,397.19
  6. Step 6: Final answer
    x = 7,949.60

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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.