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Finding the Fourth Proportional to 13,307.32, 19,966.74 and 7,144.12

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Solution

The fourth proportional to 13,307.32, 19,966.74 and 7,144.12 is: 10,719.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,307.32 : 19,966.74 = 7,144.12 : x
  2. Step 2: Convert to fraction form
    13,307.32/19,966.74 = 7,144.12/x
  3. Step 3: Cross multiply
    13,307.32x = 19,966.74 × 7,144.12
  4. Step 4: Simplify right side
    13,307.32x = 142,644,786.57
  5. Step 5: Solve for x
    x = 142,644,786.57/13,307.32
  6. Step 6: Final answer
    x = 10,719.27

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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.