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Finding the Fourth Proportional to 29,653, 40,921.14 and 16,405

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Solution

The fourth proportional to 29,653, 40,921.14 and 16,405 is: 22,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,653 : 40,921.14 = 16,405 : x
  2. Step 2: Convert to fraction form
    29,653/40,921.14 = 16,405/x
  3. Step 3: Cross multiply
    29,653x = 40,921.14 × 16,405
  4. Step 4: Simplify right side
    29,653x = 671,311,301.70
  5. Step 5: Solve for x
    x = 671,311,301.70/29,653
  6. Step 6: Final answer
    x = 22,638.90

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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.