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Finding the Fourth Proportional to 20,475.84, 30,693.24 and 13,088.64

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Solution

The fourth proportional to 20,475.84, 30,693.24 and 13,088.64 is: 19,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475.84 : 30,693.24 = 13,088.64 : x
  2. Step 2: Convert to fraction form
    20,475.84/30,693.24 = 13,088.64/x
  3. Step 3: Cross multiply
    20,475.84x = 30,693.24 × 13,088.64
  4. Step 4: Simplify right side
    20,475.84x = 401,732,768.79
  5. Step 5: Solve for x
    x = 401,732,768.79/20,475.84
  6. Step 6: Final answer
    x = 19,619.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.