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Finding the Fourth Proportional to 13,670.92, 18,866.76 and 10,307.80

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Solution

The fourth proportional to 13,670.92, 18,866.76 and 10,307.80 is: 14,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.92 : 18,866.76 = 10,307.80 : x
  2. Step 2: Convert to fraction form
    13,670.92/18,866.76 = 10,307.80/x
  3. Step 3: Cross multiply
    13,670.92x = 18,866.76 × 10,307.80
  4. Step 4: Simplify right side
    13,670.92x = 194,474,788.73
  5. Step 5: Solve for x
    x = 194,474,788.73/13,670.92
  6. Step 6: Final answer
    x = 14,225.44

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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.