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Finding the Fourth Proportional to 14,448.12, 21,674 and 4,962.29

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Solution

The fourth proportional to 14,448.12, 21,674 and 4,962.29 is: 7,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,448.12 : 21,674 = 4,962.29 : x
  2. Step 2: Convert to fraction form
    14,448.12/21,674 = 4,962.29/x
  3. Step 3: Cross multiply
    14,448.12x = 21,674 × 4,962.29
  4. Step 4: Simplify right side
    14,448.12x = 107,552,673.46
  5. Step 5: Solve for x
    x = 107,552,673.46/14,448.12
  6. Step 6: Final answer
    x = 7,444.06

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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.