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Finding the Fourth Proportional to 23,125, 34,666.68 and 8,323.51

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Solution

The fourth proportional to 23,125, 34,666.68 and 8,323.51 is: 12,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,125 : 34,666.68 = 8,323.51 : x
  2. Step 2: Convert to fraction form
    23,125/34,666.68 = 8,323.51/x
  3. Step 3: Cross multiply
    23,125x = 34,666.68 × 8,323.51
  4. Step 4: Simplify right side
    23,125x = 288,548,457.65
  5. Step 5: Solve for x
    x = 288,548,457.65/23,125
  6. Step 6: Final answer
    x = 12,477.77

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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.