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Finding the Fourth Proportional to 29,142.34, 43,713.74 and 9,420.89

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Solution

The fourth proportional to 29,142.34, 43,713.74 and 9,420.89 is: 14,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,142.34 : 43,713.74 = 9,420.89 : x
  2. Step 2: Convert to fraction form
    29,142.34/43,713.74 = 9,420.89/x
  3. Step 3: Cross multiply
    29,142.34x = 43,713.74 × 9,420.89
  4. Step 4: Simplify right side
    29,142.34x = 411,822,141.01
  5. Step 5: Solve for x
    x = 411,822,141.01/29,142.34
  6. Step 6: Final answer
    x = 14,131.40

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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.