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Finding the Fourth Proportional to 17,721.93, 24,457.65 and 9,765.58

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Solution

The fourth proportional to 17,721.93, 24,457.65 and 9,765.58 is: 13,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,721.93 : 24,457.65 = 9,765.58 : x
  2. Step 2: Convert to fraction form
    17,721.93/24,457.65 = 9,765.58/x
  3. Step 3: Cross multiply
    17,721.93x = 24,457.65 × 9,765.58
  4. Step 4: Simplify right side
    17,721.93x = 238,843,137.69
  5. Step 5: Solve for x
    x = 238,843,137.69/17,721.93
  6. Step 6: Final answer
    x = 13,477.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.