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Finding the Fourth Proportional to 22,859.37, 31,549.29 and 13,905.14

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Solution

The fourth proportional to 22,859.37, 31,549.29 and 13,905.14 is: 19,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,859.37 : 31,549.29 = 13,905.14 : x
  2. Step 2: Convert to fraction form
    22,859.37/31,549.29 = 13,905.14/x
  3. Step 3: Cross multiply
    22,859.37x = 31,549.29 × 13,905.14
  4. Step 4: Simplify right side
    22,859.37x = 438,697,136.60
  5. Step 5: Solve for x
    x = 438,697,136.60/22,859.37
  6. Step 6: Final answer
    x = 19,191.13

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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.