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Finding the Fourth Proportional to 16,503.32, 22,769.70 and 9,429.32

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Solution

The fourth proportional to 16,503.32, 22,769.70 and 9,429.32 is: 13,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503.32 : 22,769.70 = 9,429.32 : x
  2. Step 2: Convert to fraction form
    16,503.32/22,769.70 = 9,429.32/x
  3. Step 3: Cross multiply
    16,503.32x = 22,769.70 × 9,429.32
  4. Step 4: Simplify right side
    16,503.32x = 214,702,787.60
  5. Step 5: Solve for x
    x = 214,702,787.60/16,503.32
  6. Step 6: Final answer
    x = 13,009.67

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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.