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Finding the Fourth Proportional to 13,851.48, 19,115 and 7,563.90

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Solution

The fourth proportional to 13,851.48, 19,115 and 7,563.90 is: 10,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.48 : 19,115 = 7,563.90 : x
  2. Step 2: Convert to fraction form
    13,851.48/19,115 = 7,563.90/x
  3. Step 3: Cross multiply
    13,851.48x = 19,115 × 7,563.90
  4. Step 4: Simplify right side
    13,851.48x = 144,583,948.50
  5. Step 5: Solve for x
    x = 144,583,948.50/13,851.48
  6. Step 6: Final answer
    x = 10,438.16

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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.