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Finding the Fourth Proportional to 24,702.53, 34,109.14 and 22,813.42

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Solution

The fourth proportional to 24,702.53, 34,109.14 and 22,813.42 is: 31,500.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,702.53 : 34,109.14 = 22,813.42 : x
  2. Step 2: Convert to fraction form
    24,702.53/34,109.14 = 22,813.42/x
  3. Step 3: Cross multiply
    24,702.53x = 34,109.14 × 22,813.42
  4. Step 4: Simplify right side
    24,702.53x = 778,145,966.11
  5. Step 5: Solve for x
    x = 778,145,966.11/24,702.53
  6. Step 6: Final answer
    x = 31,500.67

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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.