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Finding the Fourth Proportional to 14,183.83, 19,574.16 and 7,810.91

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Solution

The fourth proportional to 14,183.83, 19,574.16 and 7,810.91 is: 10,779.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,183.83 : 19,574.16 = 7,810.91 : x
  2. Step 2: Convert to fraction form
    14,183.83/19,574.16 = 7,810.91/x
  3. Step 3: Cross multiply
    14,183.83x = 19,574.16 × 7,810.91
  4. Step 4: Simplify right side
    14,183.83x = 152,892,002.09
  5. Step 5: Solve for x
    x = 152,892,002.09/14,183.83
  6. Step 6: Final answer
    x = 10,779.32

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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.