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Finding the Fourth Proportional to 15,688.80, 23,533.20 and 13,744.80

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Solution

The fourth proportional to 15,688.80, 23,533.20 and 13,744.80 is: 20,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,688.80 : 23,533.20 = 13,744.80 : x
  2. Step 2: Convert to fraction form
    15,688.80/23,533.20 = 13,744.80/x
  3. Step 3: Cross multiply
    15,688.80x = 23,533.20 × 13,744.80
  4. Step 4: Simplify right side
    15,688.80x = 323,459,127.36
  5. Step 5: Solve for x
    x = 323,459,127.36/15,688.80
  6. Step 6: Final answer
    x = 20,617.20

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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.