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Finding the Fourth Proportional to 16,569.99, 22,858.47 and 9,853.47

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Solution

The fourth proportional to 16,569.99, 22,858.47 and 9,853.47 is: 13,592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569.99 : 22,858.47 = 9,853.47 : x
  2. Step 2: Convert to fraction form
    16,569.99/22,858.47 = 9,853.47/x
  3. Step 3: Cross multiply
    16,569.99x = 22,858.47 × 9,853.47
  4. Step 4: Simplify right side
    16,569.99x = 225,235,248.39
  5. Step 5: Solve for x
    x = 225,235,248.39/16,569.99
  6. Step 6: Final answer
    x = 13,592.96

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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.