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Finding the Fourth Proportional to 21,392.91, 32,089.50 and 14,003.57

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Solution

The fourth proportional to 21,392.91, 32,089.50 and 14,003.57 is: 21,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,392.91 : 32,089.50 = 14,003.57 : x
  2. Step 2: Convert to fraction form
    21,392.91/32,089.50 = 14,003.57/x
  3. Step 3: Cross multiply
    21,392.91x = 32,089.50 × 14,003.57
  4. Step 4: Simplify right side
    21,392.91x = 449,367,639.74
  5. Step 5: Solve for x
    x = 449,367,639.74/21,392.91
  6. Step 6: Final answer
    x = 21,005.45

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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.