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Finding the Fourth Proportional to 34,206.40, 51,315 and 14,485.08

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Solution

The fourth proportional to 34,206.40, 51,315 and 14,485.08 is: 21,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,206.40 : 51,315 = 14,485.08 : x
  2. Step 2: Convert to fraction form
    34,206.40/51,315 = 14,485.08/x
  3. Step 3: Cross multiply
    34,206.40x = 51,315 × 14,485.08
  4. Step 4: Simplify right side
    34,206.40x = 743,301,880.20
  5. Step 5: Solve for x
    x = 743,301,880.20/34,206.40
  6. Step 6: Final answer
    x = 21,729.91

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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.