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Finding the Fourth Proportional to 13,486.64, 20,222.64 and 7,254.08

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Solution

The fourth proportional to 13,486.64, 20,222.64 and 7,254.08 is: 10,877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.64 : 20,222.64 = 7,254.08 : x
  2. Step 2: Convert to fraction form
    13,486.64/20,222.64 = 7,254.08/x
  3. Step 3: Cross multiply
    13,486.64x = 20,222.64 × 7,254.08
  4. Step 4: Simplify right side
    13,486.64x = 146,696,648.37
  5. Step 5: Solve for x
    x = 146,696,648.37/13,486.64
  6. Step 6: Final answer
    x = 10,877.18

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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.