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Finding the Fourth Proportional to 14,089.91, 21,123.92 and 5,772.02

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Solution

The fourth proportional to 14,089.91, 21,123.92 and 5,772.02 is: 8,653.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.91 : 21,123.92 = 5,772.02 : x
  2. Step 2: Convert to fraction form
    14,089.91/21,123.92 = 5,772.02/x
  3. Step 3: Cross multiply
    14,089.91x = 21,123.92 × 5,772.02
  4. Step 4: Simplify right side
    14,089.91x = 121,927,597.53
  5. Step 5: Solve for x
    x = 121,927,597.53/14,089.91
  6. Step 6: Final answer
    x = 8,653.54

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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.