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Finding the Fourth Proportional to 15,424.16, 23,138 and 5,035.92

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Solution

The fourth proportional to 15,424.16, 23,138 and 5,035.92 is: 7,554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,424.16 : 23,138 = 5,035.92 : x
  2. Step 2: Convert to fraction form
    15,424.16/23,138 = 5,035.92/x
  3. Step 3: Cross multiply
    15,424.16x = 23,138 × 5,035.92
  4. Step 4: Simplify right side
    15,424.16x = 116,521,116.96
  5. Step 5: Solve for x
    x = 116,521,116.96/15,424.16
  6. Step 6: Final answer
    x = 7,554.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.