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Finding the Fourth Proportional to 22,773.24, 31,423.98 and 13,821.12

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Solution

The fourth proportional to 22,773.24, 31,423.98 and 13,821.12 is: 19,071.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.24 : 31,423.98 = 13,821.12 : x
  2. Step 2: Convert to fraction form
    22,773.24/31,423.98 = 13,821.12/x
  3. Step 3: Cross multiply
    22,773.24x = 31,423.98 × 13,821.12
  4. Step 4: Simplify right side
    22,773.24x = 434,314,598.46
  5. Step 5: Solve for x
    x = 434,314,598.46/22,773.24
  6. Step 6: Final answer
    x = 19,071.27

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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.