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Finding the Fourth Proportional to 24,529.69, 33,855.38 and 14,457.54

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Solution

The fourth proportional to 24,529.69, 33,855.38 and 14,457.54 is: 19,954.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,529.69 : 33,855.38 = 14,457.54 : x
  2. Step 2: Convert to fraction form
    24,529.69/33,855.38 = 14,457.54/x
  3. Step 3: Cross multiply
    24,529.69x = 33,855.38 × 14,457.54
  4. Step 4: Simplify right side
    24,529.69x = 489,465,510.34
  5. Step 5: Solve for x
    x = 489,465,510.34/24,529.69
  6. Step 6: Final answer
    x = 19,954.01

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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.