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Finding the Fourth Proportional to 13,848.16, 19,114.50 and 9,880.78

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Solution

The fourth proportional to 13,848.16, 19,114.50 and 9,880.78 is: 13,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,848.16 : 19,114.50 = 9,880.78 : x
  2. Step 2: Convert to fraction form
    13,848.16/19,114.50 = 9,880.78/x
  3. Step 3: Cross multiply
    13,848.16x = 19,114.50 × 9,880.78
  4. Step 4: Simplify right side
    13,848.16x = 188,866,169.31
  5. Step 5: Solve for x
    x = 188,866,169.31/13,848.16
  6. Step 6: Final answer
    x = 13,638.36

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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.