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Finding the Fourth Proportional to 16,590.70, 22,894.77 and 9,516.67

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Solution

The fourth proportional to 16,590.70, 22,894.77 and 9,516.67 is: 13,132.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,590.70 : 22,894.77 = 9,516.67 : x
  2. Step 2: Convert to fraction form
    16,590.70/22,894.77 = 9,516.67/x
  3. Step 3: Cross multiply
    16,590.70x = 22,894.77 × 9,516.67
  4. Step 4: Simplify right side
    16,590.70x = 217,881,970.82
  5. Step 5: Solve for x
    x = 217,881,970.82/16,590.70
  6. Step 6: Final answer
    x = 13,132.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.