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Finding the Fourth Proportional to 23,774.72, 32,808 and 14,341.12

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Solution

The fourth proportional to 23,774.72, 32,808 and 14,341.12 is: 19,790.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.72 : 32,808 = 14,341.12 : x
  2. Step 2: Convert to fraction form
    23,774.72/32,808 = 14,341.12/x
  3. Step 3: Cross multiply
    23,774.72x = 32,808 × 14,341.12
  4. Step 4: Simplify right side
    23,774.72x = 470,503,464.96
  5. Step 5: Solve for x
    x = 470,503,464.96/23,774.72
  6. Step 6: Final answer
    x = 19,790.07

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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.