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Finding the Fourth Proportional to 14,521.59, 21,784.59 and 5,164.65

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Solution

The fourth proportional to 14,521.59, 21,784.59 and 5,164.65 is: 7,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,521.59 : 21,784.59 = 5,164.65 : x
  2. Step 2: Convert to fraction form
    14,521.59/21,784.59 = 5,164.65/x
  3. Step 3: Cross multiply
    14,521.59x = 21,784.59 × 5,164.65
  4. Step 4: Simplify right side
    14,521.59x = 112,509,782.74
  5. Step 5: Solve for x
    x = 112,509,782.74/14,521.59
  6. Step 6: Final answer
    x = 7,747.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.