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Finding the Fourth Proportional to 17,539.47, 24,204.47 and 9,985.41

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Solution

The fourth proportional to 17,539.47, 24,204.47 and 9,985.41 is: 13,779.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,539.47 : 24,204.47 = 9,985.41 : x
  2. Step 2: Convert to fraction form
    17,539.47/24,204.47 = 9,985.41/x
  3. Step 3: Cross multiply
    17,539.47x = 24,204.47 × 9,985.41
  4. Step 4: Simplify right side
    17,539.47x = 241,691,506.86
  5. Step 5: Solve for x
    x = 241,691,506.86/17,539.47
  6. Step 6: Final answer
    x = 13,779.86

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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.