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Finding the Fourth Proportional to 12,868.96, 17,762.16 and 7,281.76

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Solution

The fourth proportional to 12,868.96, 17,762.16 and 7,281.76 is: 10,050.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868.96 : 17,762.16 = 7,281.76 : x
  2. Step 2: Convert to fraction form
    12,868.96/17,762.16 = 7,281.76/x
  3. Step 3: Cross multiply
    12,868.96x = 17,762.16 × 7,281.76
  4. Step 4: Simplify right side
    12,868.96x = 129,339,786.20
  5. Step 5: Solve for x
    x = 129,339,786.20/12,868.96
  6. Step 6: Final answer
    x = 10,050.52

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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.