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Finding the Fourth Proportional to 20,038.30, 27,648.75 and 12,078.70

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Solution

The fourth proportional to 20,038.30, 27,648.75 and 12,078.70 is: 16,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.30 : 27,648.75 = 12,078.70 : x
  2. Step 2: Convert to fraction form
    20,038.30/27,648.75 = 12,078.70/x
  3. Step 3: Cross multiply
    20,038.30x = 27,648.75 × 12,078.70
  4. Step 4: Simplify right side
    20,038.30x = 333,960,956.63
  5. Step 5: Solve for x
    x = 333,960,956.63/20,038.30
  6. Step 6: Final answer
    x = 16,666.13

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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.