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Finding the Fourth Proportional to 21,348, 29,460.24 and 11,916.59

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Solution

The fourth proportional to 21,348, 29,460.24 and 11,916.59 is: 16,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,348 : 29,460.24 = 11,916.59 : x
  2. Step 2: Convert to fraction form
    21,348/29,460.24 = 11,916.59/x
  3. Step 3: Cross multiply
    21,348x = 29,460.24 × 11,916.59
  4. Step 4: Simplify right side
    21,348x = 351,065,454.08
  5. Step 5: Solve for x
    x = 351,065,454.08/21,348
  6. Step 6: Final answer
    x = 16,444.89

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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.