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Finding the Fourth Proportional to 14,792.34, 22,187.82 and 4,931.25

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Solution

The fourth proportional to 14,792.34, 22,187.82 and 4,931.25 is: 7,396.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,792.34 : 22,187.82 = 4,931.25 : x
  2. Step 2: Convert to fraction form
    14,792.34/22,187.82 = 4,931.25/x
  3. Step 3: Cross multiply
    14,792.34x = 22,187.82 × 4,931.25
  4. Step 4: Simplify right side
    14,792.34x = 109,413,687.38
  5. Step 5: Solve for x
    x = 109,413,687.38/14,792.34
  6. Step 6: Final answer
    x = 7,396.64

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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.