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Finding the Fourth Proportional to 17,709.94, 24,439.93 and 9,752.00

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Solution

The fourth proportional to 17,709.94, 24,439.93 and 9,752.00 is: 13,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709.94 : 24,439.93 = 9,752.00 : x
  2. Step 2: Convert to fraction form
    17,709.94/24,439.93 = 9,752.00/x
  3. Step 3: Cross multiply
    17,709.94x = 24,439.93 × 9,752.00
  4. Step 4: Simplify right side
    17,709.94x = 238,338,050.78
  5. Step 5: Solve for x
    x = 238,338,050.78/17,709.94
  6. Step 6: Final answer
    x = 13,457.87

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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.