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Finding the Fourth Proportional to 14,214.15, 19,606.86 and 9,434.34

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Solution

The fourth proportional to 14,214.15, 19,606.86 and 9,434.34 is: 13,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.15 : 19,606.86 = 9,434.34 : x
  2. Step 2: Convert to fraction form
    14,214.15/19,606.86 = 9,434.34/x
  3. Step 3: Cross multiply
    14,214.15x = 19,606.86 × 9,434.34
  4. Step 4: Simplify right side
    14,214.15x = 184,977,783.57
  5. Step 5: Solve for x
    x = 184,977,783.57/14,214.15
  6. Step 6: Final answer
    x = 13,013.64

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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.