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Finding the Fourth Proportional to 13,191.84, 19,787.76 and 7,716

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Solution

The fourth proportional to 13,191.84, 19,787.76 and 7,716 is: 11,574

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.84 : 19,787.76 = 7,716 : x
  2. Step 2: Convert to fraction form
    13,191.84/19,787.76 = 7,716/x
  3. Step 3: Cross multiply
    13,191.84x = 19,787.76 × 7,716
  4. Step 4: Simplify right side
    13,191.84x = 152,682,356.16
  5. Step 5: Solve for x
    x = 152,682,356.16/13,191.84
  6. Step 6: Final answer
    x = 11,574

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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.