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Finding the Fourth Proportional to 14,585.25, 21,868.16 and 6,789.81

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Solution

The fourth proportional to 14,585.25, 21,868.16 and 6,789.81 is: 10,180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,585.25 : 21,868.16 = 6,789.81 : x
  2. Step 2: Convert to fraction form
    14,585.25/21,868.16 = 6,789.81/x
  3. Step 3: Cross multiply
    14,585.25x = 21,868.16 × 6,789.81
  4. Step 4: Simplify right side
    14,585.25x = 148,480,617.50
  5. Step 5: Solve for x
    x = 148,480,617.50/14,585.25
  6. Step 6: Final answer
    x = 10,180.19

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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.