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Finding the Fourth Proportional to 13,817.60, 20,726.40 and 4,583.60

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Solution

The fourth proportional to 13,817.60, 20,726.40 and 4,583.60 is: 6,875.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.60 : 20,726.40 = 4,583.60 : x
  2. Step 2: Convert to fraction form
    13,817.60/20,726.40 = 4,583.60/x
  3. Step 3: Cross multiply
    13,817.60x = 20,726.40 × 4,583.60
  4. Step 4: Simplify right side
    13,817.60x = 95,001,527.04
  5. Step 5: Solve for x
    x = 95,001,527.04/13,817.60
  6. Step 6: Final answer
    x = 6,875.40

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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.