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Finding the Fourth Proportional to 25,264.65, 34,864.81 and 14,509.76

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Solution

The fourth proportional to 25,264.65, 34,864.81 and 14,509.76 is: 20,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,264.65 : 34,864.81 = 14,509.76 : x
  2. Step 2: Convert to fraction form
    25,264.65/34,864.81 = 14,509.76/x
  3. Step 3: Cross multiply
    25,264.65x = 34,864.81 × 14,509.76
  4. Step 4: Simplify right side
    25,264.65x = 505,879,896.56
  5. Step 5: Solve for x
    x = 505,879,896.56/25,264.65
  6. Step 6: Final answer
    x = 20,023.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.