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Finding the Fourth Proportional to 23,649.14, 35,476.22 and 9,607.07

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Solution

The fourth proportional to 23,649.14, 35,476.22 and 9,607.07 is: 14,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,649.14 : 35,476.22 = 9,607.07 : x
  2. Step 2: Convert to fraction form
    23,649.14/35,476.22 = 9,607.07/x
  3. Step 3: Cross multiply
    23,649.14x = 35,476.22 × 9,607.07
  4. Step 4: Simplify right side
    23,649.14x = 340,822,641.58
  5. Step 5: Solve for x
    x = 340,822,641.58/23,649.14
  6. Step 6: Final answer
    x = 14,411.63

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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.