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Finding the Fourth Proportional to 13,022.78, 19,532.01 and 4,701.20

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Solution

The fourth proportional to 13,022.78, 19,532.01 and 4,701.20 is: 7,051.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.78 : 19,532.01 = 4,701.20 : x
  2. Step 2: Convert to fraction form
    13,022.78/19,532.01 = 4,701.20/x
  3. Step 3: Cross multiply
    13,022.78x = 19,532.01 × 4,701.20
  4. Step 4: Simplify right side
    13,022.78x = 91,823,885.41
  5. Step 5: Solve for x
    x = 91,823,885.41/13,022.78
  6. Step 6: Final answer
    x = 7,051.02

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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.