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Finding the Fourth Proportional to 13,548.64, 18,695.40 and 7,885.22

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Solution

The fourth proportional to 13,548.64, 18,695.40 and 7,885.22 is: 10,880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.64 : 18,695.40 = 7,885.22 : x
  2. Step 2: Convert to fraction form
    13,548.64/18,695.40 = 7,885.22/x
  3. Step 3: Cross multiply
    13,548.64x = 18,695.40 × 7,885.22
  4. Step 4: Simplify right side
    13,548.64x = 147,417,341.99
  5. Step 5: Solve for x
    x = 147,417,341.99/13,548.64
  6. Step 6: Final answer
    x = 10,880.60

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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.