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Finding the Fourth Proportional to 13,325.66, 19,984.23 and 5,428.16

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Solution

The fourth proportional to 13,325.66, 19,984.23 and 5,428.16 is: 8,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,325.66 : 19,984.23 = 5,428.16 : x
  2. Step 2: Convert to fraction form
    13,325.66/19,984.23 = 5,428.16/x
  3. Step 3: Cross multiply
    13,325.66x = 19,984.23 × 5,428.16
  4. Step 4: Simplify right side
    13,325.66x = 108,477,498.00
  5. Step 5: Solve for x
    x = 108,477,498.00/13,325.66
  6. Step 6: Final answer
    x = 8,140.50

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Why These Related Problems?

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