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Finding the Fourth Proportional to 26,503.86, 36,576 and 14,567.50

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Solution

The fourth proportional to 26,503.86, 36,576 and 14,567.50 is: 20,103.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,503.86 : 36,576 = 14,567.50 : x
  2. Step 2: Convert to fraction form
    26,503.86/36,576 = 14,567.50/x
  3. Step 3: Cross multiply
    26,503.86x = 36,576 × 14,567.50
  4. Step 4: Simplify right side
    26,503.86x = 532,820,880
  5. Step 5: Solve for x
    x = 532,820,880/26,503.86
  6. Step 6: Final answer
    x = 20,103.52

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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.