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Finding the Fourth Proportional to 23,322.21, 32,184.99 and 14,364.63

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Solution

The fourth proportional to 23,322.21, 32,184.99 and 14,364.63 is: 19,823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,322.21 : 32,184.99 = 14,364.63 : x
  2. Step 2: Convert to fraction form
    23,322.21/32,184.99 = 14,364.63/x
  3. Step 3: Cross multiply
    23,322.21x = 32,184.99 × 14,364.63
  4. Step 4: Simplify right side
    23,322.21x = 462,325,311.98
  5. Step 5: Solve for x
    x = 462,325,311.98/23,322.21
  6. Step 6: Final answer
    x = 19,823.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.