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Finding the Fourth Proportional to 12,024.26, 16,590.63 and 6,985.49

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Solution

The fourth proportional to 12,024.26, 16,590.63 and 6,985.49 is: 9,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.26 : 16,590.63 = 6,985.49 : x
  2. Step 2: Convert to fraction form
    12,024.26/16,590.63 = 6,985.49/x
  3. Step 3: Cross multiply
    12,024.26x = 16,590.63 × 6,985.49
  4. Step 4: Simplify right side
    12,024.26x = 115,893,679.96
  5. Step 5: Solve for x
    x = 115,893,679.96/12,024.26
  6. Step 6: Final answer
    x = 9,638.32

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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.