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Finding the Fourth Proportional to 14,385.48, 21,573 and 5,022.87

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Solution

The fourth proportional to 14,385.48, 21,573 and 5,022.87 is: 7,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385.48 : 21,573 = 5,022.87 : x
  2. Step 2: Convert to fraction form
    14,385.48/21,573 = 5,022.87/x
  3. Step 3: Cross multiply
    14,385.48x = 21,573 × 5,022.87
  4. Step 4: Simplify right side
    14,385.48x = 108,358,374.51
  5. Step 5: Solve for x
    x = 108,358,374.51/14,385.48
  6. Step 6: Final answer
    x = 7,532.48

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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.