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Finding the Fourth Proportional to 14,443.48, 21,665.36 and 4,582

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Solution

The fourth proportional to 14,443.48, 21,665.36 and 4,582 is: 6,873.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.48 : 21,665.36 = 4,582 : x
  2. Step 2: Convert to fraction form
    14,443.48/21,665.36 = 4,582/x
  3. Step 3: Cross multiply
    14,443.48x = 21,665.36 × 4,582
  4. Step 4: Simplify right side
    14,443.48x = 99,270,679.52
  5. Step 5: Solve for x
    x = 99,270,679.52/14,443.48
  6. Step 6: Final answer
    x = 6,873.04

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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.