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Finding the Fourth Proportional to 18,482.64, 25,506 and 10,099.20

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Solution

The fourth proportional to 18,482.64, 25,506 and 10,099.20 is: 13,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,482.64 : 25,506 = 10,099.20 : x
  2. Step 2: Convert to fraction form
    18,482.64/25,506 = 10,099.20/x
  3. Step 3: Cross multiply
    18,482.64x = 25,506 × 10,099.20
  4. Step 4: Simplify right side
    18,482.64x = 257,590,195.20
  5. Step 5: Solve for x
    x = 257,590,195.20/18,482.64
  6. Step 6: Final answer
    x = 13,936.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.