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Finding the Fourth Proportional to 17,655.87, 24,365.16 and 9,697.89

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Solution

The fourth proportional to 17,655.87, 24,365.16 and 9,697.89 is: 13,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.87 : 24,365.16 = 9,697.89 : x
  2. Step 2: Convert to fraction form
    17,655.87/24,365.16 = 9,697.89/x
  3. Step 3: Cross multiply
    17,655.87x = 24,365.16 × 9,697.89
  4. Step 4: Simplify right side
    17,655.87x = 236,290,641.51
  5. Step 5: Solve for x
    x = 236,290,641.51/17,655.87
  6. Step 6: Final answer
    x = 13,383.12

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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.