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Finding the Fourth Proportional to 15,446.61, 21,305.07 and 9,782.28

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Solution

The fourth proportional to 15,446.61, 21,305.07 and 9,782.28 is: 13,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,446.61 : 21,305.07 = 9,782.28 : x
  2. Step 2: Convert to fraction form
    15,446.61/21,305.07 = 9,782.28/x
  3. Step 3: Cross multiply
    15,446.61x = 21,305.07 × 9,782.28
  4. Step 4: Simplify right side
    15,446.61x = 208,412,160.16
  5. Step 5: Solve for x
    x = 208,412,160.16/15,446.61
  6. Step 6: Final answer
    x = 13,492.42

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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.