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Finding the Fourth Proportional to 14,093.64, 19,417.90 and 9,305.05

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Solution

The fourth proportional to 14,093.64, 19,417.90 and 9,305.05 is: 12,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,093.64 : 19,417.90 = 9,305.05 : x
  2. Step 2: Convert to fraction form
    14,093.64/19,417.90 = 9,305.05/x
  3. Step 3: Cross multiply
    14,093.64x = 19,417.90 × 9,305.05
  4. Step 4: Simplify right side
    14,093.64x = 180,684,530.40
  5. Step 5: Solve for x
    x = 180,684,530.40/14,093.64
  6. Step 6: Final answer
    x = 12,820.29

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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.