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Finding the Fourth Proportional to 13,358.17, 20,032.71 and 5,459.50

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Solution

The fourth proportional to 13,358.17, 20,032.71 and 5,459.50 is: 8,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,358.17 : 20,032.71 = 5,459.50 : x
  2. Step 2: Convert to fraction form
    13,358.17/20,032.71 = 5,459.50/x
  3. Step 3: Cross multiply
    13,358.17x = 20,032.71 × 5,459.50
  4. Step 4: Simplify right side
    13,358.17x = 109,368,580.25
  5. Step 5: Solve for x
    x = 109,368,580.25/13,358.17
  6. Step 6: Final answer
    x = 8,187.39

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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.