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Finding the Fourth Proportional to 13,127.76, 19,685.88 and 4,914

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Solution

The fourth proportional to 13,127.76, 19,685.88 and 4,914 is: 7,368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,127.76 : 19,685.88 = 4,914 : x
  2. Step 2: Convert to fraction form
    13,127.76/19,685.88 = 4,914/x
  3. Step 3: Cross multiply
    13,127.76x = 19,685.88 × 4,914
  4. Step 4: Simplify right side
    13,127.76x = 96,736,414.32
  5. Step 5: Solve for x
    x = 96,736,414.32/13,127.76
  6. Step 6: Final answer
    x = 7,368.84

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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.