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Finding the Fourth Proportional to 17,828.77, 24,603.45 and 9,870.97

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Solution

The fourth proportional to 17,828.77, 24,603.45 and 9,870.97 is: 13,621.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,828.77 : 24,603.45 = 9,870.97 : x
  2. Step 2: Convert to fraction form
    17,828.77/24,603.45 = 9,870.97/x
  3. Step 3: Cross multiply
    17,828.77x = 24,603.45 × 9,870.97
  4. Step 4: Simplify right side
    17,828.77x = 242,859,916.85
  5. Step 5: Solve for x
    x = 242,859,916.85/17,828.77
  6. Step 6: Final answer
    x = 13,621.80

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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.