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Finding the Fourth Proportional to 13,871.10, 20,802.60 and 4,985.40

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Solution

The fourth proportional to 13,871.10, 20,802.60 and 4,985.40 is: 7,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.10 : 20,802.60 = 4,985.40 : x
  2. Step 2: Convert to fraction form
    13,871.10/20,802.60 = 4,985.40/x
  3. Step 3: Cross multiply
    13,871.10x = 20,802.60 × 4,985.40
  4. Step 4: Simplify right side
    13,871.10x = 103,709,282.04
  5. Step 5: Solve for x
    x = 103,709,282.04/13,871.10
  6. Step 6: Final answer
    x = 7,476.64

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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.