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Finding the Fourth Proportional to 17,416.22, 24,038.17 and 10,707.59

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Solution

The fourth proportional to 17,416.22, 24,038.17 and 10,707.59 is: 14,778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,416.22 : 24,038.17 = 10,707.59 : x
  2. Step 2: Convert to fraction form
    17,416.22/24,038.17 = 10,707.59/x
  3. Step 3: Cross multiply
    17,416.22x = 24,038.17 × 10,707.59
  4. Step 4: Simplify right side
    17,416.22x = 257,390,902.04
  5. Step 5: Solve for x
    x = 257,390,902.04/17,416.22
  6. Step 6: Final answer
    x = 14,778.81

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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.