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Finding the Fourth Proportional to 16,412.80, 24,627.90 and 9,492.16

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Solution

The fourth proportional to 16,412.80, 24,627.90 and 9,492.16 is: 14,243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.80 : 24,627.90 = 9,492.16 : x
  2. Step 2: Convert to fraction form
    16,412.80/24,627.90 = 9,492.16/x
  3. Step 3: Cross multiply
    16,412.80x = 24,627.90 × 9,492.16
  4. Step 4: Simplify right side
    16,412.80x = 233,771,967.26
  5. Step 5: Solve for x
    x = 233,771,967.26/16,412.80
  6. Step 6: Final answer
    x = 14,243.27

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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.