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Finding the Fourth Proportional to 14,689.76, 20,301 and 12,032.96

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Solution

The fourth proportional to 14,689.76, 20,301 and 12,032.96 is: 16,629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.76 : 20,301 = 12,032.96 : x
  2. Step 2: Convert to fraction form
    14,689.76/20,301 = 12,032.96/x
  3. Step 3: Cross multiply
    14,689.76x = 20,301 × 12,032.96
  4. Step 4: Simplify right side
    14,689.76x = 244,281,120.96
  5. Step 5: Solve for x
    x = 244,281,120.96/14,689.76
  6. Step 6: Final answer
    x = 16,629.35

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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.