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Finding the Fourth Proportional to 17,330.34, 23,916.15 and 9,776.82

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Solution

The fourth proportional to 17,330.34, 23,916.15 and 9,776.82 is: 13,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,330.34 : 23,916.15 = 9,776.82 : x
  2. Step 2: Convert to fraction form
    17,330.34/23,916.15 = 9,776.82/x
  3. Step 3: Cross multiply
    17,330.34x = 23,916.15 × 9,776.82
  4. Step 4: Simplify right side
    17,330.34x = 233,823,947.37
  5. Step 5: Solve for x
    x = 233,823,947.37/17,330.34
  6. Step 6: Final answer
    x = 13,492.17

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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.