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Finding the Fourth Proportional to 13,137.64, 19,714.14 and 13,032.04

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Solution

The fourth proportional to 13,137.64, 19,714.14 and 13,032.04 is: 19,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.64 : 19,714.14 = 13,032.04 : x
  2. Step 2: Convert to fraction form
    13,137.64/19,714.14 = 13,032.04/x
  3. Step 3: Cross multiply
    13,137.64x = 19,714.14 × 13,032.04
  4. Step 4: Simplify right side
    13,137.64x = 256,915,461.05
  5. Step 5: Solve for x
    x = 256,915,461.05/13,137.64
  6. Step 6: Final answer
    x = 19,555.68

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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.