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Finding the Fourth Proportional to 13,223.68, 19,833.80 and 7,680

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Solution

The fourth proportional to 13,223.68, 19,833.80 and 7,680 is: 11,519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.68 : 19,833.80 = 7,680 : x
  2. Step 2: Convert to fraction form
    13,223.68/19,833.80 = 7,680/x
  3. Step 3: Cross multiply
    13,223.68x = 19,833.80 × 7,680
  4. Step 4: Simplify right side
    13,223.68x = 152,323,584
  5. Step 5: Solve for x
    x = 152,323,584/13,223.68
  6. Step 6: Final answer
    x = 11,519.00

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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.