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Finding the Fourth Proportional to 39,823.65, 59,698.08 and 13,509.99

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Solution

The fourth proportional to 39,823.65, 59,698.08 and 13,509.99 is: 20,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,823.65 : 59,698.08 = 13,509.99 : x
  2. Step 2: Convert to fraction form
    39,823.65/59,698.08 = 13,509.99/x
  3. Step 3: Cross multiply
    39,823.65x = 59,698.08 × 13,509.99
  4. Step 4: Simplify right side
    39,823.65x = 806,520,463.82
  5. Step 5: Solve for x
    x = 806,520,463.82/39,823.65
  6. Step 6: Final answer
    x = 20,252.30

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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.