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Finding the Fourth Proportional to 14,093.16, 19,446.19 and 8,430.22

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Solution

The fourth proportional to 14,093.16, 19,446.19 and 8,430.22 is: 11,632.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,093.16 : 19,446.19 = 8,430.22 : x
  2. Step 2: Convert to fraction form
    14,093.16/19,446.19 = 8,430.22/x
  3. Step 3: Cross multiply
    14,093.16x = 19,446.19 × 8,430.22
  4. Step 4: Simplify right side
    14,093.16x = 163,935,659.86
  5. Step 5: Solve for x
    x = 163,935,659.86/14,093.16
  6. Step 6: Final answer
    x = 11,632.29

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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.