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Finding the Fourth Proportional to 15,832.80, 23,806.80 and 13,298.40

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Solution

The fourth proportional to 15,832.80, 23,806.80 and 13,298.40 is: 19,995.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.80 : 23,806.80 = 13,298.40 : x
  2. Step 2: Convert to fraction form
    15,832.80/23,806.80 = 13,298.40/x
  3. Step 3: Cross multiply
    15,832.80x = 23,806.80 × 13,298.40
  4. Step 4: Simplify right side
    15,832.80x = 316,592,349.12
  5. Step 5: Solve for x
    x = 316,592,349.12/15,832.80
  6. Step 6: Final answer
    x = 19,995.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.