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Finding the Fourth Proportional to 23,762.20, 32,802.42 and 14,205.40

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Solution

The fourth proportional to 23,762.20, 32,802.42 and 14,205.40 is: 19,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762.20 : 32,802.42 = 14,205.40 : x
  2. Step 2: Convert to fraction form
    23,762.20/32,802.42 = 14,205.40/x
  3. Step 3: Cross multiply
    23,762.20x = 32,802.42 × 14,205.40
  4. Step 4: Simplify right side
    23,762.20x = 465,971,497.07
  5. Step 5: Solve for x
    x = 465,971,497.07/23,762.20
  6. Step 6: Final answer
    x = 19,609.78

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