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Finding the Fourth Proportional to 13,085.21, 19,579.32 and 7,823.13

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Solution

The fourth proportional to 13,085.21, 19,579.32 and 7,823.13 is: 11,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085.21 : 19,579.32 = 7,823.13 : x
  2. Step 2: Convert to fraction form
    13,085.21/19,579.32 = 7,823.13/x
  3. Step 3: Cross multiply
    13,085.21x = 19,579.32 × 7,823.13
  4. Step 4: Simplify right side
    13,085.21x = 153,171,565.67
  5. Step 5: Solve for x
    x = 153,171,565.67/13,085.21
  6. Step 6: Final answer
    x = 11,705.71

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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.