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Finding the Fourth Proportional to 10,023.54, 13,838.22 and 6,670.98

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Solution

The fourth proportional to 10,023.54, 13,838.22 and 6,670.98 is: 9,209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.54 : 13,838.22 = 6,670.98 : x
  2. Step 2: Convert to fraction form
    10,023.54/13,838.22 = 6,670.98/x
  3. Step 3: Cross multiply
    10,023.54x = 13,838.22 × 6,670.98
  4. Step 4: Simplify right side
    10,023.54x = 92,314,488.86
  5. Step 5: Solve for x
    x = 92,314,488.86/10,023.54
  6. Step 6: Final answer
    x = 9,209.77

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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.