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Finding the Fourth Proportional to 21,348, 29,461.68 and 11,916.77

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Solution

The fourth proportional to 21,348, 29,461.68 and 11,916.77 is: 16,445.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,348 : 29,461.68 = 11,916.77 : x
  2. Step 2: Convert to fraction form
    21,348/29,461.68 = 11,916.77/x
  3. Step 3: Cross multiply
    21,348x = 29,461.68 × 11,916.77
  4. Step 4: Simplify right side
    21,348x = 351,087,917.07
  5. Step 5: Solve for x
    x = 351,087,917.07/21,348
  6. Step 6: Final answer
    x = 16,445.94

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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.