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Finding the Fourth Proportional to 20,082.32, 30,126.93 and 6,931.58

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Solution

The fourth proportional to 20,082.32, 30,126.93 and 6,931.58 is: 10,398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.32 : 30,126.93 = 6,931.58 : x
  2. Step 2: Convert to fraction form
    20,082.32/30,126.93 = 6,931.58/x
  3. Step 3: Cross multiply
    20,082.32x = 30,126.93 × 6,931.58
  4. Step 4: Simplify right side
    20,082.32x = 208,827,225.45
  5. Step 5: Solve for x
    x = 208,827,225.45/20,082.32
  6. Step 6: Final answer
    x = 10,398.56

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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.