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Finding the Fourth Proportional to 14,454.40, 19,945.56 and 9,076

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Solution

The fourth proportional to 14,454.40, 19,945.56 and 9,076 is: 12,523.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.40 : 19,945.56 = 9,076 : x
  2. Step 2: Convert to fraction form
    14,454.40/19,945.56 = 9,076/x
  3. Step 3: Cross multiply
    14,454.40x = 19,945.56 × 9,076
  4. Step 4: Simplify right side
    14,454.40x = 181,025,902.56
  5. Step 5: Solve for x
    x = 181,025,902.56/14,454.40
  6. Step 6: Final answer
    x = 12,523.93

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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.