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Finding the Fourth Proportional to 17,675.70, 26,516.76 and 5,830.14

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Solution

The fourth proportional to 17,675.70, 26,516.76 and 5,830.14 is: 8,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,675.70 : 26,516.76 = 5,830.14 : x
  2. Step 2: Convert to fraction form
    17,675.70/26,516.76 = 5,830.14/x
  3. Step 3: Cross multiply
    17,675.70x = 26,516.76 × 5,830.14
  4. Step 4: Simplify right side
    17,675.70x = 154,596,423.15
  5. Step 5: Solve for x
    x = 154,596,423.15/17,675.70
  6. Step 6: Final answer
    x = 8,746.27

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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.