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Finding the Fourth Proportional to 13,076.11, 19,614 and 3,215.47

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Solution

The fourth proportional to 13,076.11, 19,614 and 3,215.47 is: 4,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.11 : 19,614 = 3,215.47 : x
  2. Step 2: Convert to fraction form
    13,076.11/19,614 = 3,215.47/x
  3. Step 3: Cross multiply
    13,076.11x = 19,614 × 3,215.47
  4. Step 4: Simplify right side
    13,076.11x = 63,068,228.58
  5. Step 5: Solve for x
    x = 63,068,228.58/13,076.11
  6. Step 6: Final answer
    x = 4,823.16

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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.