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Finding the Fourth Proportional to 21,329.58, 32,005.17 and 14,389.50

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Solution

The fourth proportional to 21,329.58, 32,005.17 and 14,389.50 is: 21,591.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,329.58 : 32,005.17 = 14,389.50 : x
  2. Step 2: Convert to fraction form
    21,329.58/32,005.17 = 14,389.50/x
  3. Step 3: Cross multiply
    21,329.58x = 32,005.17 × 14,389.50
  4. Step 4: Simplify right side
    21,329.58x = 460,538,393.72
  5. Step 5: Solve for x
    x = 460,538,393.72/21,329.58
  6. Step 6: Final answer
    x = 21,591.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.