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Finding the Fourth Proportional to 15,386, 23,082.84 and 4,442

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Solution

The fourth proportional to 15,386, 23,082.84 and 4,442 is: 6,664.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,386 : 23,082.84 = 4,442 : x
  2. Step 2: Convert to fraction form
    15,386/23,082.84 = 4,442/x
  3. Step 3: Cross multiply
    15,386x = 23,082.84 × 4,442
  4. Step 4: Simplify right side
    15,386x = 102,533,975.28
  5. Step 5: Solve for x
    x = 102,533,975.28/15,386
  6. Step 6: Final answer
    x = 6,664.11

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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.