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Finding the Fourth Proportional to 29,697.12, 40,981.95 and 16,268.40

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Solution

The fourth proportional to 29,697.12, 40,981.95 and 16,268.40 is: 22,450.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.12 : 40,981.95 = 16,268.40 : x
  2. Step 2: Convert to fraction form
    29,697.12/40,981.95 = 16,268.40/x
  3. Step 3: Cross multiply
    29,697.12x = 40,981.95 × 16,268.40
  4. Step 4: Simplify right side
    29,697.12x = 666,710,755.38
  5. Step 5: Solve for x
    x = 666,710,755.38/29,697.12
  6. Step 6: Final answer
    x = 22,450.35

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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.