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Finding the Fourth Proportional to 38,223.84, 57,313.48 and 14,822.96

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Solution

The fourth proportional to 38,223.84, 57,313.48 and 14,822.96 is: 22,225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,223.84 : 57,313.48 = 14,822.96 : x
  2. Step 2: Convert to fraction form
    38,223.84/57,313.48 = 14,822.96/x
  3. Step 3: Cross multiply
    38,223.84x = 57,313.48 × 14,822.96
  4. Step 4: Simplify right side
    38,223.84x = 849,555,421.50
  5. Step 5: Solve for x
    x = 849,555,421.50/38,223.84
  6. Step 6: Final answer
    x = 22,225.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.