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Finding the Fourth Proportional to 15,446.86, 21,305.41 and 9,782.53

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Solution

The fourth proportional to 15,446.86, 21,305.41 and 9,782.53 is: 13,492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,446.86 : 21,305.41 = 9,782.53 : x
  2. Step 2: Convert to fraction form
    15,446.86/21,305.41 = 9,782.53/x
  3. Step 3: Cross multiply
    15,446.86x = 21,305.41 × 9,782.53
  4. Step 4: Simplify right side
    15,446.86x = 208,420,812.49
  5. Step 5: Solve for x
    x = 208,420,812.49/15,446.86
  6. Step 6: Final answer
    x = 13,492.76

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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.