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Finding the Fourth Proportional to 16,592.36, 22,896.42 and 9,140.36

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Solution

The fourth proportional to 16,592.36, 22,896.42 and 9,140.36 is: 12,613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,592.36 : 22,896.42 = 9,140.36 : x
  2. Step 2: Convert to fraction form
    16,592.36/22,896.42 = 9,140.36/x
  3. Step 3: Cross multiply
    16,592.36x = 22,896.42 × 9,140.36
  4. Step 4: Simplify right side
    16,592.36x = 209,281,521.51
  5. Step 5: Solve for x
    x = 209,281,521.51/16,592.36
  6. Step 6: Final answer
    x = 12,613.13

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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.