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Finding the Fourth Proportional to 12,783.36, 19,169.28 and 7,520.88

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Solution

The fourth proportional to 12,783.36, 19,169.28 and 7,520.88 is: 11,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.36 : 19,169.28 = 7,520.88 : x
  2. Step 2: Convert to fraction form
    12,783.36/19,169.28 = 7,520.88/x
  3. Step 3: Cross multiply
    12,783.36x = 19,169.28 × 7,520.88
  4. Step 4: Simplify right side
    12,783.36x = 144,169,854.57
  5. Step 5: Solve for x
    x = 144,169,854.57/12,783.36
  6. Step 6: Final answer
    x = 11,277.93

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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.