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Finding the Fourth Proportional to 22,747.98, 31,390.93 and 12,538.68

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Solution

The fourth proportional to 22,747.98, 31,390.93 and 12,538.68 is: 17,302.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,747.98 : 31,390.93 = 12,538.68 : x
  2. Step 2: Convert to fraction form
    22,747.98/31,390.93 = 12,538.68/x
  3. Step 3: Cross multiply
    22,747.98x = 31,390.93 × 12,538.68
  4. Step 4: Simplify right side
    22,747.98x = 393,600,826.17
  5. Step 5: Solve for x
    x = 393,600,826.17/22,747.98
  6. Step 6: Final answer
    x = 17,302.67

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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.