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Finding the Fourth Proportional to 24,603.76, 36,887.76 and 9,808.24

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Solution

The fourth proportional to 24,603.76, 36,887.76 and 9,808.24 is: 14,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,603.76 : 36,887.76 = 9,808.24 : x
  2. Step 2: Convert to fraction form
    24,603.76/36,887.76 = 9,808.24/x
  3. Step 3: Cross multiply
    24,603.76x = 36,887.76 × 9,808.24
  4. Step 4: Simplify right side
    24,603.76x = 361,804,003.14
  5. Step 5: Solve for x
    x = 361,804,003.14/24,603.76
  6. Step 6: Final answer
    x = 14,705.23

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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.