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Finding the Fourth Proportional to 13,533.68, 18,688.14 and 8,506.64

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Solution

The fourth proportional to 13,533.68, 18,688.14 and 8,506.64 is: 11,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.68 : 18,688.14 = 8,506.64 : x
  2. Step 2: Convert to fraction form
    13,533.68/18,688.14 = 8,506.64/x
  3. Step 3: Cross multiply
    13,533.68x = 18,688.14 × 8,506.64
  4. Step 4: Simplify right side
    13,533.68x = 158,973,279.25
  5. Step 5: Solve for x
    x = 158,973,279.25/13,533.68
  6. Step 6: Final answer
    x = 11,746.49

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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.