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Finding the Fourth Proportional to 14,523.90, 21,785.85 and 12,738.30

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Solution

The fourth proportional to 14,523.90, 21,785.85 and 12,738.30 is: 19,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.90 : 21,785.85 = 12,738.30 : x
  2. Step 2: Convert to fraction form
    14,523.90/21,785.85 = 12,738.30/x
  3. Step 3: Cross multiply
    14,523.90x = 21,785.85 × 12,738.30
  4. Step 4: Simplify right side
    14,523.90x = 277,514,693.06
  5. Step 5: Solve for x
    x = 277,514,693.06/14,523.90
  6. Step 6: Final answer
    x = 19,107.45

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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.