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Finding the Fourth Proportional to 15,412.64, 21,264.16 and 8,697.44

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Solution

The fourth proportional to 15,412.64, 21,264.16 and 8,697.44 is: 11,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,412.64 : 21,264.16 = 8,697.44 : x
  2. Step 2: Convert to fraction form
    15,412.64/21,264.16 = 8,697.44/x
  3. Step 3: Cross multiply
    15,412.64x = 21,264.16 × 8,697.44
  4. Step 4: Simplify right side
    15,412.64x = 184,943,755.75
  5. Step 5: Solve for x
    x = 184,943,755.75/15,412.64
  6. Step 6: Final answer
    x = 11,999.49

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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.