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Finding the Fourth Proportional to 25,807.68, 35,620.02 and 15,201

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Solution

The fourth proportional to 25,807.68, 35,620.02 and 15,201 is: 20,980.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,807.68 : 35,620.02 = 15,201 : x
  2. Step 2: Convert to fraction form
    25,807.68/35,620.02 = 15,201/x
  3. Step 3: Cross multiply
    25,807.68x = 35,620.02 × 15,201
  4. Step 4: Simplify right side
    25,807.68x = 541,459,924.02
  5. Step 5: Solve for x
    x = 541,459,924.02/25,807.68
  6. Step 6: Final answer
    x = 20,980.57

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Why These Related Problems?

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