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Finding the Fourth Proportional to 13,132.71, 19,706.56 and 4,811.63

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Solution

The fourth proportional to 13,132.71, 19,706.56 and 4,811.63 is: 7,220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.71 : 19,706.56 = 4,811.63 : x
  2. Step 2: Convert to fraction form
    13,132.71/19,706.56 = 4,811.63/x
  3. Step 3: Cross multiply
    13,132.71x = 19,706.56 × 4,811.63
  4. Step 4: Simplify right side
    13,132.71x = 94,820,564.73
  5. Step 5: Solve for x
    x = 94,820,564.73/13,132.71
  6. Step 6: Final answer
    x = 7,220.18

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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.