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Finding the Fourth Proportional to 20,038.32, 27,649.08 and 12,582.96

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Solution

The fourth proportional to 20,038.32, 27,649.08 and 12,582.96 is: 17,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.32 : 27,649.08 = 12,582.96 : x
  2. Step 2: Convert to fraction form
    20,038.32/27,649.08 = 12,582.96/x
  3. Step 3: Cross multiply
    20,038.32x = 27,649.08 × 12,582.96
  4. Step 4: Simplify right side
    20,038.32x = 347,907,267.68
  5. Step 5: Solve for x
    x = 347,907,267.68/20,038.32
  6. Step 6: Final answer
    x = 17,362.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.