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Finding the Fourth Proportional to 23,774.77, 32,809.12 and 13,703.12

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Solution

The fourth proportional to 23,774.77, 32,809.12 and 13,703.12 is: 18,910.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.77 : 32,809.12 = 13,703.12 : x
  2. Step 2: Convert to fraction form
    23,774.77/32,809.12 = 13,703.12/x
  3. Step 3: Cross multiply
    23,774.77x = 32,809.12 × 13,703.12
  4. Step 4: Simplify right side
    23,774.77x = 449,587,417.74
  5. Step 5: Solve for x
    x = 449,587,417.74/23,774.77
  6. Step 6: Final answer
    x = 18,910.28

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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.