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Finding the Fourth Proportional to 15,728.96, 21,697.80 and 12,748.16

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Solution

The fourth proportional to 15,728.96, 21,697.80 and 12,748.16 is: 17,585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.96 : 21,697.80 = 12,748.16 : x
  2. Step 2: Convert to fraction form
    15,728.96/21,697.80 = 12,748.16/x
  3. Step 3: Cross multiply
    15,728.96x = 21,697.80 × 12,748.16
  4. Step 4: Simplify right side
    15,728.96x = 276,607,026.05
  5. Step 5: Solve for x
    x = 276,607,026.05/15,728.96
  6. Step 6: Final answer
    x = 17,585.84

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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.