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Finding the Fourth Proportional to 12,904.38, 17,807.42 and 7,238.42

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Solution

The fourth proportional to 12,904.38, 17,807.42 and 7,238.42 is: 9,988.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.38 : 17,807.42 = 7,238.42 : x
  2. Step 2: Convert to fraction form
    12,904.38/17,807.42 = 7,238.42/x
  3. Step 3: Cross multiply
    12,904.38x = 17,807.42 × 7,238.42
  4. Step 4: Simplify right side
    12,904.38x = 128,897,585.08
  5. Step 5: Solve for x
    x = 128,897,585.08/12,904.38
  6. Step 6: Final answer
    x = 9,988.67

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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.