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Finding the Fourth Proportional to 29,590.83, 40,834.70 and 16,162.14

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Solution

The fourth proportional to 29,590.83, 40,834.70 and 16,162.14 is: 22,303.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,590.83 : 40,834.70 = 16,162.14 : x
  2. Step 2: Convert to fraction form
    29,590.83/40,834.70 = 16,162.14/x
  3. Step 3: Cross multiply
    29,590.83x = 40,834.70 × 16,162.14
  4. Step 4: Simplify right side
    29,590.83x = 659,976,138.26
  5. Step 5: Solve for x
    x = 659,976,138.26/29,590.83
  6. Step 6: Final answer
    x = 22,303.40

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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.