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Finding the Fourth Proportional to 14,475.81, 21,708.18 and 7,898.48

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Solution

The fourth proportional to 14,475.81, 21,708.18 and 7,898.48 is: 11,844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,475.81 : 21,708.18 = 7,898.48 : x
  2. Step 2: Convert to fraction form
    14,475.81/21,708.18 = 7,898.48/x
  3. Step 3: Cross multiply
    14,475.81x = 21,708.18 × 7,898.48
  4. Step 4: Simplify right side
    14,475.81x = 171,461,625.57
  5. Step 5: Solve for x
    x = 171,461,625.57/14,475.81
  6. Step 6: Final answer
    x = 11,844.70

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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.