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Finding the Fourth Proportional to 13,172.76, 19,709.70 and 7,888.32

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Solution

The fourth proportional to 13,172.76, 19,709.70 and 7,888.32 is: 11,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.76 : 19,709.70 = 7,888.32 : x
  2. Step 2: Convert to fraction form
    13,172.76/19,709.70 = 7,888.32/x
  3. Step 3: Cross multiply
    13,172.76x = 19,709.70 × 7,888.32
  4. Step 4: Simplify right side
    13,172.76x = 155,476,420.70
  5. Step 5: Solve for x
    x = 155,476,420.70/13,172.76
  6. Step 6: Final answer
    x = 11,802.87

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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.