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Finding the Fourth Proportional to 34,381.13, 51,571.74 and 9,421.40

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Solution

The fourth proportional to 34,381.13, 51,571.74 and 9,421.40 is: 14,132.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,381.13 : 51,571.74 = 9,421.40 : x
  2. Step 2: Convert to fraction form
    34,381.13/51,571.74 = 9,421.40/x
  3. Step 3: Cross multiply
    34,381.13x = 51,571.74 × 9,421.40
  4. Step 4: Simplify right side
    34,381.13x = 485,877,991.24
  5. Step 5: Solve for x
    x = 485,877,991.24/34,381.13
  6. Step 6: Final answer
    x = 14,132.11

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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.