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Finding the Fourth Proportional to 16,465.77, 22,723.06 and 9,748.95

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Solution

The fourth proportional to 16,465.77, 22,723.06 and 9,748.95 is: 13,453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.77 : 22,723.06 = 9,748.95 : x
  2. Step 2: Convert to fraction form
    16,465.77/22,723.06 = 9,748.95/x
  3. Step 3: Cross multiply
    16,465.77x = 22,723.06 × 9,748.95
  4. Step 4: Simplify right side
    16,465.77x = 221,525,975.79
  5. Step 5: Solve for x
    x = 221,525,975.79/16,465.77
  6. Step 6: Final answer
    x = 13,453.73

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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.