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Finding the Fourth Proportional to 23,416.74, 35,128.35 and 9,562.50

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Solution

The fourth proportional to 23,416.74, 35,128.35 and 9,562.50 is: 14,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,416.74 : 35,128.35 = 9,562.50 : x
  2. Step 2: Convert to fraction form
    23,416.74/35,128.35 = 9,562.50/x
  3. Step 3: Cross multiply
    23,416.74x = 35,128.35 × 9,562.50
  4. Step 4: Simplify right side
    23,416.74x = 335,914,846.88
  5. Step 5: Solve for x
    x = 335,914,846.88/23,416.74
  6. Step 6: Final answer
    x = 14,345.07

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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.