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Finding the Fourth Proportional to 13,969.20, 19,276.80 and 7,681.20

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Solution

The fourth proportional to 13,969.20, 19,276.80 and 7,681.20 is: 10,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.20 : 19,276.80 = 7,681.20 : x
  2. Step 2: Convert to fraction form
    13,969.20/19,276.80 = 7,681.20/x
  3. Step 3: Cross multiply
    13,969.20x = 19,276.80 × 7,681.20
  4. Step 4: Simplify right side
    13,969.20x = 148,068,956.16
  5. Step 5: Solve for x
    x = 148,068,956.16/13,969.20
  6. Step 6: Final answer
    x = 10,599.67

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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.