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Finding the Fourth Proportional to 12,566.18, 18,835.94 and 5,897.04

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Solution

The fourth proportional to 12,566.18, 18,835.94 and 5,897.04 is: 8,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.18 : 18,835.94 = 5,897.04 : x
  2. Step 2: Convert to fraction form
    12,566.18/18,835.94 = 5,897.04/x
  3. Step 3: Cross multiply
    12,566.18x = 18,835.94 × 5,897.04
  4. Step 4: Simplify right side
    12,566.18x = 111,076,291.62
  5. Step 5: Solve for x
    x = 111,076,291.62/12,566.18
  6. Step 6: Final answer
    x = 8,839.31

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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.