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Finding the Fourth Proportional to 21,313.85, 29,405.40 and 12,356.42

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Solution

The fourth proportional to 21,313.85, 29,405.40 and 12,356.42 is: 17,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,313.85 : 29,405.40 = 12,356.42 : x
  2. Step 2: Convert to fraction form
    21,313.85/29,405.40 = 12,356.42/x
  3. Step 3: Cross multiply
    21,313.85x = 29,405.40 × 12,356.42
  4. Step 4: Simplify right side
    21,313.85x = 363,345,472.67
  5. Step 5: Solve for x
    x = 363,345,472.67/21,313.85
  6. Step 6: Final answer
    x = 17,047.39

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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.