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Finding the Fourth Proportional to 19,505.04, 29,258.28 and 9,114

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Solution

The fourth proportional to 19,505.04, 29,258.28 and 9,114 is: 13,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,505.04 : 29,258.28 = 9,114 : x
  2. Step 2: Convert to fraction form
    19,505.04/29,258.28 = 9,114/x
  3. Step 3: Cross multiply
    19,505.04x = 29,258.28 × 9,114
  4. Step 4: Simplify right side
    19,505.04x = 266,659,963.92
  5. Step 5: Solve for x
    x = 266,659,963.92/19,505.04
  6. Step 6: Final answer
    x = 13,671.34

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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.