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Finding the Fourth Proportional to 13,416.37, 18,506.17 and 8,642.50

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Solution

The fourth proportional to 13,416.37, 18,506.17 and 8,642.50 is: 11,921.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.37 : 18,506.17 = 8,642.50 : x
  2. Step 2: Convert to fraction form
    13,416.37/18,506.17 = 8,642.50/x
  3. Step 3: Cross multiply
    13,416.37x = 18,506.17 × 8,642.50
  4. Step 4: Simplify right side
    13,416.37x = 159,939,574.23
  5. Step 5: Solve for x
    x = 159,939,574.23/13,416.37
  6. Step 6: Final answer
    x = 11,921.23

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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.