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Finding the Fourth Proportional to 24,590.48, 36,862.68 and 8,996

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Solution

The fourth proportional to 24,590.48, 36,862.68 and 8,996 is: 13,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,590.48 : 36,862.68 = 8,996 : x
  2. Step 2: Convert to fraction form
    24,590.48/36,862.68 = 8,996/x
  3. Step 3: Cross multiply
    24,590.48x = 36,862.68 × 8,996
  4. Step 4: Simplify right side
    24,590.48x = 331,616,669.28
  5. Step 5: Solve for x
    x = 331,616,669.28/24,590.48
  6. Step 6: Final answer
    x = 13,485.57

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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.