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Finding the Fourth Proportional to 15,446.74, 21,305.23 and 9,782.41

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Solution

The fourth proportional to 15,446.74, 21,305.23 and 9,782.41 is: 13,492.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,446.74 : 21,305.23 = 9,782.41 : x
  2. Step 2: Convert to fraction form
    15,446.74/21,305.23 = 9,782.41/x
  3. Step 3: Cross multiply
    15,446.74x = 21,305.23 × 9,782.41
  4. Step 4: Simplify right side
    15,446.74x = 208,416,495.00
  5. Step 5: Solve for x
    x = 208,416,495.00/15,446.74
  6. Step 6: Final answer
    x = 13,492.59

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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.