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Finding the Fourth Proportional to 14,792.40, 20,412.71 and 8,077.93

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Solution

The fourth proportional to 14,792.40, 20,412.71 and 8,077.93 is: 11,147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,792.40 : 20,412.71 = 8,077.93 : x
  2. Step 2: Convert to fraction form
    14,792.40/20,412.71 = 8,077.93/x
  3. Step 3: Cross multiply
    14,792.40x = 20,412.71 × 8,077.93
  4. Step 4: Simplify right side
    14,792.40x = 164,892,442.49
  5. Step 5: Solve for x
    x = 164,892,442.49/14,792.40
  6. Step 6: Final answer
    x = 11,147.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.