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Finding the Fourth Proportional to 21,346, 29,458.28 and 11,916.38

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Solution

The fourth proportional to 21,346, 29,458.28 and 11,916.38 is: 16,445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,346 : 29,458.28 = 11,916.38 : x
  2. Step 2: Convert to fraction form
    21,346/29,458.28 = 11,916.38/x
  3. Step 3: Cross multiply
    21,346x = 29,458.28 × 11,916.38
  4. Step 4: Simplify right side
    21,346x = 351,036,058.63
  5. Step 5: Solve for x
    x = 351,036,058.63/21,346
  6. Step 6: Final answer
    x = 16,445.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.