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Finding the Fourth Proportional to 13,532.30, 20,301.65 and 4,298.30

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Solution

The fourth proportional to 13,532.30, 20,301.65 and 4,298.30 is: 6,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.30 : 20,301.65 = 4,298.30 : x
  2. Step 2: Convert to fraction form
    13,532.30/20,301.65 = 4,298.30/x
  3. Step 3: Cross multiply
    13,532.30x = 20,301.65 × 4,298.30
  4. Step 4: Simplify right side
    13,532.30x = 87,262,582.20
  5. Step 5: Solve for x
    x = 87,262,582.20/13,532.30
  6. Step 6: Final answer
    x = 6,448.47

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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.