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Finding the Fourth Proportional to 17,828.48, 24,603.21 and 9,870.68

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Solution

The fourth proportional to 17,828.48, 24,603.21 and 9,870.68 is: 13,621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,828.48 : 24,603.21 = 9,870.68 : x
  2. Step 2: Convert to fraction form
    17,828.48/24,603.21 = 9,870.68/x
  3. Step 3: Cross multiply
    17,828.48x = 24,603.21 × 9,870.68
  4. Step 4: Simplify right side
    17,828.48x = 242,850,474.39
  5. Step 5: Solve for x
    x = 242,850,474.39/17,828.48
  6. Step 6: Final answer
    x = 13,621.49

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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.