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Finding the Fourth Proportional to 17,610.94, 24,303.72 and 9,653.16

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Solution

The fourth proportional to 17,610.94, 24,303.72 and 9,653.16 is: 13,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,610.94 : 24,303.72 = 9,653.16 : x
  2. Step 2: Convert to fraction form
    17,610.94/24,303.72 = 9,653.16/x
  3. Step 3: Cross multiply
    17,610.94x = 24,303.72 × 9,653.16
  4. Step 4: Simplify right side
    17,610.94x = 234,607,697.76
  5. Step 5: Solve for x
    x = 234,607,697.76/17,610.94
  6. Step 6: Final answer
    x = 13,321.70

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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.