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Finding the Fourth Proportional to 16,411.30, 22,655.28 and 11,114.68

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Solution

The fourth proportional to 16,411.30, 22,655.28 and 11,114.68 is: 15,343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.30 : 22,655.28 = 11,114.68 : x
  2. Step 2: Convert to fraction form
    16,411.30/22,655.28 = 11,114.68/x
  3. Step 3: Cross multiply
    16,411.30x = 22,655.28 × 11,114.68
  4. Step 4: Simplify right side
    16,411.30x = 251,806,187.51
  5. Step 5: Solve for x
    x = 251,806,187.51/16,411.30
  6. Step 6: Final answer
    x = 15,343.46

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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.