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Finding the Fourth Proportional to 13,444.16, 18,546.72 and 8,405.12

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Solution

The fourth proportional to 13,444.16, 18,546.72 and 8,405.12 is: 11,595.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,444.16 : 18,546.72 = 8,405.12 : x
  2. Step 2: Convert to fraction form
    13,444.16/18,546.72 = 8,405.12/x
  3. Step 3: Cross multiply
    13,444.16x = 18,546.72 × 8,405.12
  4. Step 4: Simplify right side
    13,444.16x = 155,887,407.21
  5. Step 5: Solve for x
    x = 155,887,407.21/13,444.16
  6. Step 6: Final answer
    x = 11,595.18

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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.