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Finding the Fourth Proportional to 13,705.90, 20,597.28 and 8,160.10

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Solution

The fourth proportional to 13,705.90, 20,597.28 and 8,160.10 is: 12,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.90 : 20,597.28 = 8,160.10 : x
  2. Step 2: Convert to fraction form
    13,705.90/20,597.28 = 8,160.10/x
  3. Step 3: Cross multiply
    13,705.90x = 20,597.28 × 8,160.10
  4. Step 4: Simplify right side
    13,705.90x = 168,075,864.53
  5. Step 5: Solve for x
    x = 168,075,864.53/13,705.90
  6. Step 6: Final answer
    x = 12,263.03

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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.