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Finding the Fourth Proportional to 21,410, 29,535.82 and 13,858.76

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Solution

The fourth proportional to 21,410, 29,535.82 and 13,858.76 is: 19,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,410 : 29,535.82 = 13,858.76 : x
  2. Step 2: Convert to fraction form
    21,410/29,535.82 = 13,858.76/x
  3. Step 3: Cross multiply
    21,410x = 29,535.82 × 13,858.76
  4. Step 4: Simplify right side
    21,410x = 409,329,840.78
  5. Step 5: Solve for x
    x = 409,329,840.78/21,410
  6. Step 6: Final answer
    x = 19,118.63

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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.