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Finding the Fourth Proportional to 14,896.81, 22,345.19 and 3,803.50

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Solution

The fourth proportional to 14,896.81, 22,345.19 and 3,803.50 is: 5,705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.81 : 22,345.19 = 3,803.50 : x
  2. Step 2: Convert to fraction form
    14,896.81/22,345.19 = 3,803.50/x
  3. Step 3: Cross multiply
    14,896.81x = 22,345.19 × 3,803.50
  4. Step 4: Simplify right side
    14,896.81x = 84,989,864.79
  5. Step 5: Solve for x
    x = 84,989,864.79/14,896.81
  6. Step 6: Final answer
    x = 5,705.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.