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Finding the Fourth Proportional to 12,780.88, 19,153.84 and 9,658.36

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Solution

The fourth proportional to 12,780.88, 19,153.84 and 9,658.36 is: 14,474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.88 : 19,153.84 = 9,658.36 : x
  2. Step 2: Convert to fraction form
    12,780.88/19,153.84 = 9,658.36/x
  3. Step 3: Cross multiply
    12,780.88x = 19,153.84 × 9,658.36
  4. Step 4: Simplify right side
    12,780.88x = 184,994,682.10
  5. Step 5: Solve for x
    x = 184,994,682.10/12,780.88
  6. Step 6: Final answer
    x = 14,474.33

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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.