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Finding the Fourth Proportional to 13,705.54, 20,533.98 and 9,307.24

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Solution

The fourth proportional to 13,705.54, 20,533.98 and 9,307.24 is: 13,944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.54 : 20,533.98 = 9,307.24 : x
  2. Step 2: Convert to fraction form
    13,705.54/20,533.98 = 9,307.24/x
  3. Step 3: Cross multiply
    13,705.54x = 20,533.98 × 9,307.24
  4. Step 4: Simplify right side
    13,705.54x = 191,114,680.02
  5. Step 5: Solve for x
    x = 191,114,680.02/13,705.54
  6. Step 6: Final answer
    x = 13,944.34

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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.