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Finding the Fourth Proportional to 14,645.34, 21,916.94 and 11,982.06

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Solution

The fourth proportional to 14,645.34, 21,916.94 and 11,982.06 is: 17,931.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645.34 : 21,916.94 = 11,982.06 : x
  2. Step 2: Convert to fraction form
    14,645.34/21,916.94 = 11,982.06/x
  3. Step 3: Cross multiply
    14,645.34x = 21,916.94 × 11,982.06
  4. Step 4: Simplify right side
    14,645.34x = 262,610,030.19
  5. Step 5: Solve for x
    x = 262,610,030.19/14,645.34
  6. Step 6: Final answer
    x = 17,931.30

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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.