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Finding the Fourth Proportional to 22,643.96, 33,979.75 and 14,312.50

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Solution

The fourth proportional to 22,643.96, 33,979.75 and 14,312.50 is: 21,477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.96 : 33,979.75 = 14,312.50 : x
  2. Step 2: Convert to fraction form
    22,643.96/33,979.75 = 14,312.50/x
  3. Step 3: Cross multiply
    22,643.96x = 33,979.75 × 14,312.50
  4. Step 4: Simplify right side
    22,643.96x = 486,335,131.65
  5. Step 5: Solve for x
    x = 486,335,131.65/22,643.96
  6. Step 6: Final answer
    x = 21,477.48

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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.