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Finding the Fourth Proportional to 14,707.89, 20,289.29 and 9,109.17

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Solution

The fourth proportional to 14,707.89, 20,289.29 and 9,109.17 is: 12,565.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,707.89 : 20,289.29 = 9,109.17 : x
  2. Step 2: Convert to fraction form
    14,707.89/20,289.29 = 9,109.17/x
  3. Step 3: Cross multiply
    14,707.89x = 20,289.29 × 9,109.17
  4. Step 4: Simplify right side
    14,707.89x = 184,818,546.24
  5. Step 5: Solve for x
    x = 184,818,546.24/14,707.89
  6. Step 6: Final answer
    x = 12,565.95

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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.