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Finding the Fourth Proportional to 23,274, 32,114.88 and 14,322.96

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Solution

The fourth proportional to 23,274, 32,114.88 and 14,322.96 is: 19,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,274 : 32,114.88 = 14,322.96 : x
  2. Step 2: Convert to fraction form
    23,274/32,114.88 = 14,322.96/x
  3. Step 3: Cross multiply
    23,274x = 32,114.88 × 14,322.96
  4. Step 4: Simplify right side
    23,274x = 459,980,141.64
  5. Step 5: Solve for x
    x = 459,980,141.64/23,274
  6. Step 6: Final answer
    x = 19,763.69

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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.