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Finding the Fourth Proportional to 21,370.14, 29,485.74 and 12,412.32

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Solution

The fourth proportional to 21,370.14, 29,485.74 and 12,412.32 is: 17,126.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,370.14 : 29,485.74 = 12,412.32 : x
  2. Step 2: Convert to fraction form
    21,370.14/29,485.74 = 12,412.32/x
  3. Step 3: Cross multiply
    21,370.14x = 29,485.74 × 12,412.32
  4. Step 4: Simplify right side
    21,370.14x = 365,986,440.32
  5. Step 5: Solve for x
    x = 365,986,440.32/21,370.14
  6. Step 6: Final answer
    x = 17,126.07

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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.