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Finding the Fourth Proportional to 14,808.56, 20,433.86 and 9,510.56

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Solution

The fourth proportional to 14,808.56, 20,433.86 and 9,510.56 is: 13,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,808.56 : 20,433.86 = 9,510.56 : x
  2. Step 2: Convert to fraction form
    14,808.56/20,433.86 = 9,510.56/x
  3. Step 3: Cross multiply
    14,808.56x = 20,433.86 × 9,510.56
  4. Step 4: Simplify right side
    14,808.56x = 194,337,451.56
  5. Step 5: Solve for x
    x = 194,337,451.56/14,808.56
  6. Step 6: Final answer
    x = 13,123.32

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Why These Related Problems?

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