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Finding the Fourth Proportional to 22,596.90, 31,176.59 and 13,035.50

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Solution

The fourth proportional to 22,596.90, 31,176.59 and 13,035.50 is: 17,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.90 : 31,176.59 = 13,035.50 : x
  2. Step 2: Convert to fraction form
    22,596.90/31,176.59 = 13,035.50/x
  3. Step 3: Cross multiply
    22,596.90x = 31,176.59 × 13,035.50
  4. Step 4: Simplify right side
    22,596.90x = 406,402,217.88
  5. Step 5: Solve for x
    x = 406,402,217.88/22,596.90
  6. Step 6: Final answer
    x = 17,984.87

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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.