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Finding the Fourth Proportional to 23,274.30, 32,118.66 and 12,664

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Solution

The fourth proportional to 23,274.30, 32,118.66 and 12,664 is: 17,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,274.30 : 32,118.66 = 12,664 : x
  2. Step 2: Convert to fraction form
    23,274.30/32,118.66 = 12,664/x
  3. Step 3: Cross multiply
    23,274.30x = 32,118.66 × 12,664
  4. Step 4: Simplify right side
    23,274.30x = 406,750,710.24
  5. Step 5: Solve for x
    x = 406,750,710.24/23,274.30
  6. Step 6: Final answer
    x = 17,476.39

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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.