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Finding the Fourth Proportional to 13,002.93, 19,503.72 and 4,117.77

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Solution

The fourth proportional to 13,002.93, 19,503.72 and 4,117.77 is: 6,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.93 : 19,503.72 = 4,117.77 : x
  2. Step 2: Convert to fraction form
    13,002.93/19,503.72 = 4,117.77/x
  3. Step 3: Cross multiply
    13,002.93x = 19,503.72 × 4,117.77
  4. Step 4: Simplify right side
    13,002.93x = 80,311,833.10
  5. Step 5: Solve for x
    x = 80,311,833.10/13,002.93
  6. Step 6: Final answer
    x = 6,176.44

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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.