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Finding the Fourth Proportional to 23,714.04, 35,592.48 and 12,630

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Solution

The fourth proportional to 23,714.04, 35,592.48 and 12,630 is: 18,956.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.04 : 35,592.48 = 12,630 : x
  2. Step 2: Convert to fraction form
    23,714.04/35,592.48 = 12,630/x
  3. Step 3: Cross multiply
    23,714.04x = 35,592.48 × 12,630
  4. Step 4: Simplify right side
    23,714.04x = 449,533,022.40
  5. Step 5: Solve for x
    x = 449,533,022.40/23,714.04
  6. Step 6: Final answer
    x = 18,956.41

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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.