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Finding the Fourth Proportional to 21,329.08, 32,004.42 and 14,389

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Solution

The fourth proportional to 21,329.08, 32,004.42 and 14,389 is: 21,590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,329.08 : 32,004.42 = 14,389 : x
  2. Step 2: Convert to fraction form
    21,329.08/32,004.42 = 14,389/x
  3. Step 3: Cross multiply
    21,329.08x = 32,004.42 × 14,389
  4. Step 4: Simplify right side
    21,329.08x = 460,511,599.38
  5. Step 5: Solve for x
    x = 460,511,599.38/21,329.08
  6. Step 6: Final answer
    x = 21,590.79

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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.