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Finding the Fourth Proportional to 13,153.44, 19,725.30 and 5,358

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Solution

The fourth proportional to 13,153.44, 19,725.30 and 5,358 is: 8,035.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.44 : 19,725.30 = 5,358 : x
  2. Step 2: Convert to fraction form
    13,153.44/19,725.30 = 5,358/x
  3. Step 3: Cross multiply
    13,153.44x = 19,725.30 × 5,358
  4. Step 4: Simplify right side
    13,153.44x = 105,688,157.40
  5. Step 5: Solve for x
    x = 105,688,157.40/13,153.44
  6. Step 6: Final answer
    x = 8,035.02

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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.