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Finding the Fourth Proportional to 13,176.13, 19,841.52 and 9,503.77

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Solution

The fourth proportional to 13,176.13, 19,841.52 and 9,503.77 is: 14,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,176.13 : 19,841.52 = 9,503.77 : x
  2. Step 2: Convert to fraction form
    13,176.13/19,841.52 = 9,503.77/x
  3. Step 3: Cross multiply
    13,176.13x = 19,841.52 × 9,503.77
  4. Step 4: Simplify right side
    13,176.13x = 188,569,242.53
  5. Step 5: Solve for x
    x = 188,569,242.53/13,176.13
  6. Step 6: Final answer
    x = 14,311.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.