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Finding the Fourth Proportional to 27,009.64, 40,523.10 and 14,689

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Solution

The fourth proportional to 27,009.64, 40,523.10 and 14,689 is: 22,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,009.64 : 40,523.10 = 14,689 : x
  2. Step 2: Convert to fraction form
    27,009.64/40,523.10 = 14,689/x
  3. Step 3: Cross multiply
    27,009.64x = 40,523.10 × 14,689
  4. Step 4: Simplify right side
    27,009.64x = 595,243,815.90
  5. Step 5: Solve for x
    x = 595,243,815.90/27,009.64
  6. Step 6: Final answer
    x = 22,038.20

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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.