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Finding the Fourth Proportional to 23,457.64, 35,186.46 and 11,142.76

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Solution

The fourth proportional to 23,457.64, 35,186.46 and 11,142.76 is: 16,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,457.64 : 35,186.46 = 11,142.76 : x
  2. Step 2: Convert to fraction form
    23,457.64/35,186.46 = 11,142.76/x
  3. Step 3: Cross multiply
    23,457.64x = 35,186.46 × 11,142.76
  4. Step 4: Simplify right side
    23,457.64x = 392,074,279.03
  5. Step 5: Solve for x
    x = 392,074,279.03/23,457.64
  6. Step 6: Final answer
    x = 16,714.14

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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.