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Finding the Fourth Proportional to 25,423, 38,098.16 and 11,174.40

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Solution

The fourth proportional to 25,423, 38,098.16 and 11,174.40 is: 16,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,423 : 38,098.16 = 11,174.40 : x
  2. Step 2: Convert to fraction form
    25,423/38,098.16 = 11,174.40/x
  3. Step 3: Cross multiply
    25,423x = 38,098.16 × 11,174.40
  4. Step 4: Simplify right side
    25,423x = 425,724,079.10
  5. Step 5: Solve for x
    x = 425,724,079.10/25,423
  6. Step 6: Final answer
    x = 16,745.63

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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.