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Finding the Fourth Proportional to 23,898.58, 32,980.06 and 13,288.20

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Solution

The fourth proportional to 23,898.58, 32,980.06 and 13,288.20 is: 18,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,898.58 : 32,980.06 = 13,288.20 : x
  2. Step 2: Convert to fraction form
    23,898.58/32,980.06 = 13,288.20/x
  3. Step 3: Cross multiply
    23,898.58x = 32,980.06 × 13,288.20
  4. Step 4: Simplify right side
    23,898.58x = 438,245,633.29
  5. Step 5: Solve for x
    x = 438,245,633.29/23,898.58
  6. Step 6: Final answer
    x = 18,337.73

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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.