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Finding the Fourth Proportional to 13,802.86, 20,702.23 and 5,037.77

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Solution

The fourth proportional to 13,802.86, 20,702.23 and 5,037.77 is: 7,555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.86 : 20,702.23 = 5,037.77 : x
  2. Step 2: Convert to fraction form
    13,802.86/20,702.23 = 5,037.77/x
  3. Step 3: Cross multiply
    13,802.86x = 20,702.23 × 5,037.77
  4. Step 4: Simplify right side
    13,802.86x = 104,293,082.50
  5. Step 5: Solve for x
    x = 104,293,082.50/13,802.86
  6. Step 6: Final answer
    x = 7,555.91

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Why These Related Problems?

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