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Finding the Fourth Proportional to 23,748.77, 35,630.33 and 9,714.38

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Solution

The fourth proportional to 23,748.77, 35,630.33 and 9,714.38 is: 14,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,748.77 : 35,630.33 = 9,714.38 : x
  2. Step 2: Convert to fraction form
    23,748.77/35,630.33 = 9,714.38/x
  3. Step 3: Cross multiply
    23,748.77x = 35,630.33 × 9,714.38
  4. Step 4: Simplify right side
    23,748.77x = 346,126,593.49
  5. Step 5: Solve for x
    x = 346,126,593.49/23,748.77
  6. Step 6: Final answer
    x = 14,574.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.