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Finding the Fourth Proportional to 23,457.72, 35,186.64 and 5,927.40

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Solution

The fourth proportional to 23,457.72, 35,186.64 and 5,927.40 is: 8,891.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,457.72 : 35,186.64 = 5,927.40 : x
  2. Step 2: Convert to fraction form
    23,457.72/35,186.64 = 5,927.40/x
  3. Step 3: Cross multiply
    23,457.72x = 35,186.64 × 5,927.40
  4. Step 4: Simplify right side
    23,457.72x = 208,565,289.94
  5. Step 5: Solve for x
    x = 208,565,289.94/23,457.72
  6. Step 6: Final answer
    x = 8,891.12

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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.