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Finding the Fourth Proportional to 14,093.60, 19,417.84 and 9,305.04

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Solution

The fourth proportional to 14,093.60, 19,417.84 and 9,305.04 is: 12,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,093.60 : 19,417.84 = 9,305.04 : x
  2. Step 2: Convert to fraction form
    14,093.60/19,417.84 = 9,305.04/x
  3. Step 3: Cross multiply
    14,093.60x = 19,417.84 × 9,305.04
  4. Step 4: Simplify right side
    14,093.60x = 180,683,777.91
  5. Step 5: Solve for x
    x = 180,683,777.91/14,093.60
  6. Step 6: Final answer
    x = 12,820.27

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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.