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Finding the Fourth Proportional to 14,932.14, 22,348.98 and 8,258.38

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Solution

The fourth proportional to 14,932.14, 22,348.98 and 8,258.38 is: 12,360.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,932.14 : 22,348.98 = 8,258.38 : x
  2. Step 2: Convert to fraction form
    14,932.14/22,348.98 = 8,258.38/x
  3. Step 3: Cross multiply
    14,932.14x = 22,348.98 × 8,258.38
  4. Step 4: Simplify right side
    14,932.14x = 184,566,369.45
  5. Step 5: Solve for x
    x = 184,566,369.45/14,932.14
  6. Step 6: Final answer
    x = 12,360.34

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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.