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Finding the Fourth Proportional to 14,472.81, 21,703.68 and 7,895.48

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Solution

The fourth proportional to 14,472.81, 21,703.68 and 7,895.48 is: 11,840.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472.81 : 21,703.68 = 7,895.48 : x
  2. Step 2: Convert to fraction form
    14,472.81/21,703.68 = 7,895.48/x
  3. Step 3: Cross multiply
    14,472.81x = 21,703.68 × 7,895.48
  4. Step 4: Simplify right side
    14,472.81x = 171,360,862.85
  5. Step 5: Solve for x
    x = 171,360,862.85/14,472.81
  6. Step 6: Final answer
    x = 11,840.19

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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.