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Finding the Fourth Proportional to 14,562.38, 20,088.47 and 11,019.44

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Solution

The fourth proportional to 14,562.38, 20,088.47 and 11,019.44 is: 15,201.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.38 : 20,088.47 = 11,019.44 : x
  2. Step 2: Convert to fraction form
    14,562.38/20,088.47 = 11,019.44/x
  3. Step 3: Cross multiply
    14,562.38x = 20,088.47 × 11,019.44
  4. Step 4: Simplify right side
    14,562.38x = 221,363,767.63
  5. Step 5: Solve for x
    x = 221,363,767.63/14,562.38
  6. Step 6: Final answer
    x = 15,201.07

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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.