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Finding the Fourth Proportional to 14,590.68, 21,883.59 and 5,228.70

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Solution

The fourth proportional to 14,590.68, 21,883.59 and 5,228.70 is: 7,842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,590.68 : 21,883.59 = 5,228.70 : x
  2. Step 2: Convert to fraction form
    14,590.68/21,883.59 = 5,228.70/x
  3. Step 3: Cross multiply
    14,590.68x = 21,883.59 × 5,228.70
  4. Step 4: Simplify right side
    14,590.68x = 114,422,727.03
  5. Step 5: Solve for x
    x = 114,422,727.03/14,590.68
  6. Step 6: Final answer
    x = 7,842.18

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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.