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Finding the Fourth Proportional to 19,916.40, 29,845.26 and 11,154

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Solution

The fourth proportional to 19,916.40, 29,845.26 and 11,154 is: 16,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,916.40 : 29,845.26 = 11,154 : x
  2. Step 2: Convert to fraction form
    19,916.40/29,845.26 = 11,154/x
  3. Step 3: Cross multiply
    19,916.40x = 29,845.26 × 11,154
  4. Step 4: Simplify right side
    19,916.40x = 332,894,030.04
  5. Step 5: Solve for x
    x = 332,894,030.04/19,916.40
  6. Step 6: Final answer
    x = 16,714.57

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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.