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Finding the Fourth Proportional to 14,510.56, 21,763.92 and 4,123.36

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Solution

The fourth proportional to 14,510.56, 21,763.92 and 4,123.36 is: 6,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.56 : 21,763.92 = 4,123.36 : x
  2. Step 2: Convert to fraction form
    14,510.56/21,763.92 = 4,123.36/x
  3. Step 3: Cross multiply
    14,510.56x = 21,763.92 × 4,123.36
  4. Step 4: Simplify right side
    14,510.56x = 89,740,477.17
  5. Step 5: Solve for x
    x = 89,740,477.17/14,510.56
  6. Step 6: Final answer
    x = 6,184.49

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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.