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Finding the Fourth Proportional to 14,332.50, 21,501.21 and 4,471.44

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Solution

The fourth proportional to 14,332.50, 21,501.21 and 4,471.44 is: 6,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332.50 : 21,501.21 = 4,471.44 : x
  2. Step 2: Convert to fraction form
    14,332.50/21,501.21 = 4,471.44/x
  3. Step 3: Cross multiply
    14,332.50x = 21,501.21 × 4,471.44
  4. Step 4: Simplify right side
    14,332.50x = 96,141,370.44
  5. Step 5: Solve for x
    x = 96,141,370.44/14,332.50
  6. Step 6: Final answer
    x = 6,707.93

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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.