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Finding the Fourth Proportional to 13,128.96, 19,700.94 and 4,807.86

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Solution

The fourth proportional to 13,128.96, 19,700.94 and 4,807.86 is: 7,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,128.96 : 19,700.94 = 4,807.86 : x
  2. Step 2: Convert to fraction form
    13,128.96/19,700.94 = 4,807.86/x
  3. Step 3: Cross multiply
    13,128.96x = 19,700.94 × 4,807.86
  4. Step 4: Simplify right side
    13,128.96x = 94,719,361.39
  5. Step 5: Solve for x
    x = 94,719,361.39/13,128.96
  6. Step 6: Final answer
    x = 7,214.54

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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.