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Finding the Fourth Proportional to 11,302.80, 16,970.40 and 8,548.80

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Solution

The fourth proportional to 11,302.80, 16,970.40 and 8,548.80 is: 12,835.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.80 : 16,970.40 = 8,548.80 : x
  2. Step 2: Convert to fraction form
    11,302.80/16,970.40 = 8,548.80/x
  3. Step 3: Cross multiply
    11,302.80x = 16,970.40 × 8,548.80
  4. Step 4: Simplify right side
    11,302.80x = 145,076,555.52
  5. Step 5: Solve for x
    x = 145,076,555.52/11,302.80
  6. Step 6: Final answer
    x = 12,835.45

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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.