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Finding the Fourth Proportional to 13,524.91, 18,746.18 and 12,746.24

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Solution

The fourth proportional to 13,524.91, 18,746.18 and 12,746.24 is: 17,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.91 : 18,746.18 = 12,746.24 : x
  2. Step 2: Convert to fraction form
    13,524.91/18,746.18 = 12,746.24/x
  3. Step 3: Cross multiply
    13,524.91x = 18,746.18 × 12,746.24
  4. Step 4: Simplify right side
    13,524.91x = 238,943,151.90
  5. Step 5: Solve for x
    x = 238,943,151.90/13,524.91
  6. Step 6: Final answer
    x = 17,666.90

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.