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Finding the Fourth Proportional to 16,463.16, 22,718.34 and 9,750.84

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Solution

The fourth proportional to 16,463.16, 22,718.34 and 9,750.84 is: 13,455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,463.16 : 22,718.34 = 9,750.84 : x
  2. Step 2: Convert to fraction form
    16,463.16/22,718.34 = 9,750.84/x
  3. Step 3: Cross multiply
    16,463.16x = 22,718.34 × 9,750.84
  4. Step 4: Simplify right side
    16,463.16x = 221,522,898.41
  5. Step 5: Solve for x
    x = 221,522,898.41/16,463.16
  6. Step 6: Final answer
    x = 13,455.67

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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.