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Finding the Fourth Proportional to 14,538.80, 21,808.20 and 9,873.20

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Solution

The fourth proportional to 14,538.80, 21,808.20 and 9,873.20 is: 14,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538.80 : 21,808.20 = 9,873.20 : x
  2. Step 2: Convert to fraction form
    14,538.80/21,808.20 = 9,873.20/x
  3. Step 3: Cross multiply
    14,538.80x = 21,808.20 × 9,873.20
  4. Step 4: Simplify right side
    14,538.80x = 215,316,720.24
  5. Step 5: Solve for x
    x = 215,316,720.24/14,538.80
  6. Step 6: Final answer
    x = 14,809.80

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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.