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Finding the Fourth Proportional to 22,596.35, 31,182.89 and 13,036.10

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Solution

The fourth proportional to 22,596.35, 31,182.89 and 13,036.10 is: 17,989.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.35 : 31,182.89 = 13,036.10 : x
  2. Step 2: Convert to fraction form
    22,596.35/31,182.89 = 13,036.10/x
  3. Step 3: Cross multiply
    22,596.35x = 31,182.89 × 13,036.10
  4. Step 4: Simplify right side
    22,596.35x = 406,503,051.23
  5. Step 5: Solve for x
    x = 406,503,051.23/22,596.35
  6. Step 6: Final answer
    x = 17,989.77

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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.