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Finding the Fourth Proportional to 16,652.81, 22,980.88 and 9,200.81

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Solution

The fourth proportional to 16,652.81, 22,980.88 and 9,200.81 is: 12,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,652.81 : 22,980.88 = 9,200.81 : x
  2. Step 2: Convert to fraction form
    16,652.81/22,980.88 = 9,200.81/x
  3. Step 3: Cross multiply
    16,652.81x = 22,980.88 × 9,200.81
  4. Step 4: Simplify right side
    16,652.81x = 211,442,779.47
  5. Step 5: Solve for x
    x = 211,442,779.47/16,652.81
  6. Step 6: Final answer
    x = 12,697.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.