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Finding the Fourth Proportional to 13,257.84, 19,880.32 and 7,712.80

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Solution

The fourth proportional to 13,257.84, 19,880.32 and 7,712.80 is: 11,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.84 : 19,880.32 = 7,712.80 : x
  2. Step 2: Convert to fraction form
    13,257.84/19,880.32 = 7,712.80/x
  3. Step 3: Cross multiply
    13,257.84x = 19,880.32 × 7,712.80
  4. Step 4: Simplify right side
    13,257.84x = 153,332,932.10
  5. Step 5: Solve for x
    x = 153,332,932.10/13,257.84
  6. Step 6: Final answer
    x = 11,565.45

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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.