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Finding the Fourth Proportional to 17,415.19, 24,032.75 and 9,457.47

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Solution

The fourth proportional to 17,415.19, 24,032.75 and 9,457.47 is: 13,051.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,415.19 : 24,032.75 = 9,457.47 : x
  2. Step 2: Convert to fraction form
    17,415.19/24,032.75 = 9,457.47/x
  3. Step 3: Cross multiply
    17,415.19x = 24,032.75 × 9,457.47
  4. Step 4: Simplify right side
    17,415.19x = 227,288,964.86
  5. Step 5: Solve for x
    x = 227,288,964.86/17,415.19
  6. Step 6: Final answer
    x = 13,051.19

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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.