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Finding the Fourth Proportional to 14,931.96, 22,398.18 and 3,838.40

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Solution

The fourth proportional to 14,931.96, 22,398.18 and 3,838.40 is: 5,757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,931.96 : 22,398.18 = 3,838.40 : x
  2. Step 2: Convert to fraction form
    14,931.96/22,398.18 = 3,838.40/x
  3. Step 3: Cross multiply
    14,931.96x = 22,398.18 × 3,838.40
  4. Step 4: Simplify right side
    14,931.96x = 85,973,174.11
  5. Step 5: Solve for x
    x = 85,973,174.11/14,931.96
  6. Step 6: Final answer
    x = 5,757.66

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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.