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Finding the Fourth Proportional to 23,762.85, 32,790.50 and 14,200.84

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Solution

The fourth proportional to 23,762.85, 32,790.50 and 14,200.84 is: 19,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762.85 : 32,790.50 = 14,200.84 : x
  2. Step 2: Convert to fraction form
    23,762.85/32,790.50 = 14,200.84/x
  3. Step 3: Cross multiply
    23,762.85x = 32,790.50 × 14,200.84
  4. Step 4: Simplify right side
    23,762.85x = 465,652,562.69
  5. Step 5: Solve for x
    x = 465,652,562.69/23,762.85
  6. Step 6: Final answer
    x = 19,595.82

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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.