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Finding the Fourth Proportional to 14,319.81, 19,762.83 and 8,032.23

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Solution

The fourth proportional to 14,319.81, 19,762.83 and 8,032.23 is: 11,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319.81 : 19,762.83 = 8,032.23 : x
  2. Step 2: Convert to fraction form
    14,319.81/19,762.83 = 8,032.23/x
  3. Step 3: Cross multiply
    14,319.81x = 19,762.83 × 8,032.23
  4. Step 4: Simplify right side
    14,319.81x = 158,739,596.01
  5. Step 5: Solve for x
    x = 158,739,596.01/14,319.81
  6. Step 6: Final answer
    x = 11,085.31

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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.