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Finding the Fourth Proportional to 16,412.33, 22,646.34 and 9,697.02

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Solution

The fourth proportional to 16,412.33, 22,646.34 and 9,697.02 is: 13,380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.33 : 22,646.34 = 9,697.02 : x
  2. Step 2: Convert to fraction form
    16,412.33/22,646.34 = 9,697.02/x
  3. Step 3: Cross multiply
    16,412.33x = 22,646.34 × 9,697.02
  4. Step 4: Simplify right side
    16,412.33x = 219,602,011.91
  5. Step 5: Solve for x
    x = 219,602,011.91/16,412.33
  6. Step 6: Final answer
    x = 13,380.31

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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.