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Finding the Fourth Proportional to 17,656.02, 24,364.53 and 9,697.77

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Solution

The fourth proportional to 17,656.02, 24,364.53 and 9,697.77 is: 13,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656.02 : 24,364.53 = 9,697.77 : x
  2. Step 2: Convert to fraction form
    17,656.02/24,364.53 = 9,697.77/x
  3. Step 3: Cross multiply
    17,656.02x = 24,364.53 × 9,697.77
  4. Step 4: Simplify right side
    17,656.02x = 236,281,608.10
  5. Step 5: Solve for x
    x = 236,281,608.10/17,656.02
  6. Step 6: Final answer
    x = 13,382.50

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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.