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Finding the Fourth Proportional to 13,820.32, 19,072.49 and 7,851.63

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Solution

The fourth proportional to 13,820.32, 19,072.49 and 7,851.63 is: 10,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.32 : 19,072.49 = 7,851.63 : x
  2. Step 2: Convert to fraction form
    13,820.32/19,072.49 = 7,851.63/x
  3. Step 3: Cross multiply
    13,820.32x = 19,072.49 × 7,851.63
  4. Step 4: Simplify right side
    13,820.32x = 149,750,095.40
  5. Step 5: Solve for x
    x = 149,750,095.40/13,820.32
  6. Step 6: Final answer
    x = 10,835.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.