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Finding the Fourth Proportional to 16,506.09, 22,756.05 and 10,830.83

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Solution

The fourth proportional to 16,506.09, 22,756.05 and 10,830.83 is: 14,931.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.09 : 22,756.05 = 10,830.83 : x
  2. Step 2: Convert to fraction form
    16,506.09/22,756.05 = 10,830.83/x
  3. Step 3: Cross multiply
    16,506.09x = 22,756.05 × 10,830.83
  4. Step 4: Simplify right side
    16,506.09x = 246,466,795.24
  5. Step 5: Solve for x
    x = 246,466,795.24/16,506.09
  6. Step 6: Final answer
    x = 14,931.87

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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.