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Finding the Fourth Proportional to 13,478.40, 18,597.12 and 7,886.72

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Solution

The fourth proportional to 13,478.40, 18,597.12 and 7,886.72 is: 10,881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.40 : 18,597.12 = 7,886.72 : x
  2. Step 2: Convert to fraction form
    13,478.40/18,597.12 = 7,886.72/x
  3. Step 3: Cross multiply
    13,478.40x = 18,597.12 × 7,886.72
  4. Step 4: Simplify right side
    13,478.40x = 146,670,278.25
  5. Step 5: Solve for x
    x = 146,670,278.25/13,478.40
  6. Step 6: Final answer
    x = 10,881.88

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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.