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Finding the Fourth Proportional to 14,284.65, 21,421.06 and 5,398.45

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Solution

The fourth proportional to 14,284.65, 21,421.06 and 5,398.45 is: 8,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.65 : 21,421.06 = 5,398.45 : x
  2. Step 2: Convert to fraction form
    14,284.65/21,421.06 = 5,398.45/x
  3. Step 3: Cross multiply
    14,284.65x = 21,421.06 × 5,398.45
  4. Step 4: Simplify right side
    14,284.65x = 115,640,454.31
  5. Step 5: Solve for x
    x = 115,640,454.31/14,284.65
  6. Step 6: Final answer
    x = 8,095.43

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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.