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Finding the Fourth Proportional to 23,788.50, 32,828.13 and 14,357.07

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Solution

The fourth proportional to 23,788.50, 32,828.13 and 14,357.07 is: 19,812.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.50 : 32,828.13 = 14,357.07 : x
  2. Step 2: Convert to fraction form
    23,788.50/32,828.13 = 14,357.07/x
  3. Step 3: Cross multiply
    23,788.50x = 32,828.13 × 14,357.07
  4. Step 4: Simplify right side
    23,788.50x = 471,315,760.38
  5. Step 5: Solve for x
    x = 471,315,760.38/23,788.50
  6. Step 6: Final answer
    x = 19,812.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.