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Finding the Fourth Proportional to 17,607.29, 24,298.27 and 9,649.34

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Solution

The fourth proportional to 17,607.29, 24,298.27 and 9,649.34 is: 13,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,607.29 : 24,298.27 = 9,649.34 : x
  2. Step 2: Convert to fraction form
    17,607.29/24,298.27 = 9,649.34/x
  3. Step 3: Cross multiply
    17,607.29x = 24,298.27 × 9,649.34
  4. Step 4: Simplify right side
    17,607.29x = 234,462,214.15
  5. Step 5: Solve for x
    x = 234,462,214.15/17,607.29
  6. Step 6: Final answer
    x = 13,316.20

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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.