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Finding the Fourth Proportional to 13,076.94, 19,615.53 and 9,312.84

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Solution

The fourth proportional to 13,076.94, 19,615.53 and 9,312.84 is: 13,969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.94 : 19,615.53 = 9,312.84 : x
  2. Step 2: Convert to fraction form
    13,076.94/19,615.53 = 9,312.84/x
  3. Step 3: Cross multiply
    13,076.94x = 19,615.53 × 9,312.84
  4. Step 4: Simplify right side
    13,076.94x = 182,676,292.41
  5. Step 5: Solve for x
    x = 182,676,292.41/13,076.94
  6. Step 6: Final answer
    x = 13,969.35

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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.