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Finding the Fourth Proportional to 17,707.36, 24,435.25 and 9,748.05

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Solution

The fourth proportional to 17,707.36, 24,435.25 and 9,748.05 is: 13,451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707.36 : 24,435.25 = 9,748.05 : x
  2. Step 2: Convert to fraction form
    17,707.36/24,435.25 = 9,748.05/x
  3. Step 3: Cross multiply
    17,707.36x = 24,435.25 × 9,748.05
  4. Step 4: Simplify right side
    17,707.36x = 238,196,038.76
  5. Step 5: Solve for x
    x = 238,196,038.76/17,707.36
  6. Step 6: Final answer
    x = 13,451.81

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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.