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Finding the Fourth Proportional to 19,762.76, 29,645.69 and 5,723.00

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Solution

The fourth proportional to 19,762.76, 29,645.69 and 5,723.00 is: 8,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.76 : 29,645.69 = 5,723.00 : x
  2. Step 2: Convert to fraction form
    19,762.76/29,645.69 = 5,723.00/x
  3. Step 3: Cross multiply
    19,762.76x = 29,645.69 × 5,723.00
  4. Step 4: Simplify right side
    19,762.76x = 169,662,261.12
  5. Step 5: Solve for x
    x = 169,662,261.12/19,762.76
  6. Step 6: Final answer
    x = 8,584.95

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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.