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Finding the Fourth Proportional to 23,712.32, 32,714.88 and 13,776.32

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Solution

The fourth proportional to 23,712.32, 32,714.88 and 13,776.32 is: 19,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712.32 : 32,714.88 = 13,776.32 : x
  2. Step 2: Convert to fraction form
    23,712.32/32,714.88 = 13,776.32/x
  3. Step 3: Cross multiply
    23,712.32x = 32,714.88 × 13,776.32
  4. Step 4: Simplify right side
    23,712.32x = 450,690,655.64
  5. Step 5: Solve for x
    x = 450,690,655.64/23,712.32
  6. Step 6: Final answer
    x = 19,006.60

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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.