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Finding the Fourth Proportional to 34,525.51, 51,794.95 and 13,464.70

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Solution

The fourth proportional to 34,525.51, 51,794.95 and 13,464.70 is: 20,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,525.51 : 51,794.95 = 13,464.70 : x
  2. Step 2: Convert to fraction form
    34,525.51/51,794.95 = 13,464.70/x
  3. Step 3: Cross multiply
    34,525.51x = 51,794.95 × 13,464.70
  4. Step 4: Simplify right side
    34,525.51x = 697,403,300.12
  5. Step 5: Solve for x
    x = 697,403,300.12/34,525.51
  6. Step 6: Final answer
    x = 20,199.65

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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.