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Finding the Fourth Proportional to 14,704.53, 22,051.27 and 5,342.24

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Solution

The fourth proportional to 14,704.53, 22,051.27 and 5,342.24 is: 8,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.53 : 22,051.27 = 5,342.24 : x
  2. Step 2: Convert to fraction form
    14,704.53/22,051.27 = 5,342.24/x
  3. Step 3: Cross multiply
    14,704.53x = 22,051.27 × 5,342.24
  4. Step 4: Simplify right side
    14,704.53x = 117,803,176.64
  5. Step 5: Solve for x
    x = 117,803,176.64/14,704.53
  6. Step 6: Final answer
    x = 8,011.35

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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.