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Finding the Fourth Proportional to 12,701.34, 17,529.80 and 7,922.07

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Solution

The fourth proportional to 12,701.34, 17,529.80 and 7,922.07 is: 10,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.34 : 17,529.80 = 7,922.07 : x
  2. Step 2: Convert to fraction form
    12,701.34/17,529.80 = 7,922.07/x
  3. Step 3: Cross multiply
    12,701.34x = 17,529.80 × 7,922.07
  4. Step 4: Simplify right side
    12,701.34x = 138,872,263.08
  5. Step 5: Solve for x
    x = 138,872,263.08/12,701.34
  6. Step 6: Final answer
    x = 10,933.67

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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.