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Finding the Fourth Proportional to 23,704, 32,714.40 and 13,768

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Solution

The fourth proportional to 23,704, 32,714.40 and 13,768 is: 19,001.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,704 : 32,714.40 = 13,768 : x
  2. Step 2: Convert to fraction form
    23,704/32,714.40 = 13,768/x
  3. Step 3: Cross multiply
    23,704x = 32,714.40 × 13,768
  4. Step 4: Simplify right side
    23,704x = 450,411,859.20
  5. Step 5: Solve for x
    x = 450,411,859.20/23,704
  6. Step 6: Final answer
    x = 19,001.51

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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.