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Finding the Fourth Proportional to 38,130, 57,199 and 10,428

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Solution

The fourth proportional to 38,130, 57,199 and 10,428 is: 15,643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,130 : 57,199 = 10,428 : x
  2. Step 2: Convert to fraction form
    38,130/57,199 = 10,428/x
  3. Step 3: Cross multiply
    38,130x = 57,199 × 10,428
  4. Step 4: Simplify right side
    38,130x = 596,471,172
  5. Step 5: Solve for x
    x = 596,471,172/38,130
  6. Step 6: Final answer
    x = 15,643.09

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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.