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Finding the Fourth Proportional to 39,506.74, 59,283.50 and 14,564.30

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Solution

The fourth proportional to 39,506.74, 59,283.50 and 14,564.30 is: 21,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,506.74 : 59,283.50 = 14,564.30 : x
  2. Step 2: Convert to fraction form
    39,506.74/59,283.50 = 14,564.30/x
  3. Step 3: Cross multiply
    39,506.74x = 59,283.50 × 14,564.30
  4. Step 4: Simplify right side
    39,506.74x = 863,422,309.81
  5. Step 5: Solve for x
    x = 863,422,309.81/39,506.74
  6. Step 6: Final answer
    x = 21,855.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.