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Finding the Fourth Proportional to 14,558.24, 21,840.48 and 5,324

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Solution

The fourth proportional to 14,558.24, 21,840.48 and 5,324 is: 7,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,558.24 : 21,840.48 = 5,324 : x
  2. Step 2: Convert to fraction form
    14,558.24/21,840.48 = 5,324/x
  3. Step 3: Cross multiply
    14,558.24x = 21,840.48 × 5,324
  4. Step 4: Simplify right side
    14,558.24x = 116,278,715.52
  5. Step 5: Solve for x
    x = 116,278,715.52/14,558.24
  6. Step 6: Final answer
    x = 7,987.14

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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.