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Finding the Fourth Proportional to 16,419.81, 22,659.37 and 9,346.24

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Solution

The fourth proportional to 16,419.81, 22,659.37 and 9,346.24 is: 12,897.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.81 : 22,659.37 = 9,346.24 : x
  2. Step 2: Convert to fraction form
    16,419.81/22,659.37 = 9,346.24/x
  3. Step 3: Cross multiply
    16,419.81x = 22,659.37 × 9,346.24
  4. Step 4: Simplify right side
    16,419.81x = 211,779,773.61
  5. Step 5: Solve for x
    x = 211,779,773.61/16,419.81
  6. Step 6: Final answer
    x = 12,897.82

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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.