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Finding the Fourth Proportional to 20,038.56, 27,653.36 and 12,079.20

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Solution

The fourth proportional to 20,038.56, 27,653.36 and 12,079.20 is: 16,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.56 : 27,653.36 = 12,079.20 : x
  2. Step 2: Convert to fraction form
    20,038.56/27,653.36 = 12,079.20/x
  3. Step 3: Cross multiply
    20,038.56x = 27,653.36 × 12,079.20
  4. Step 4: Simplify right side
    20,038.56x = 334,030,466.11
  5. Step 5: Solve for x
    x = 334,030,466.11/20,038.56
  6. Step 6: Final answer
    x = 16,669.38

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Why These Related Problems?

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