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Finding the Fourth Proportional to 15,735.19, 21,714.14 and 8,565.24

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Solution

The fourth proportional to 15,735.19, 21,714.14 and 8,565.24 is: 11,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.19 : 21,714.14 = 8,565.24 : x
  2. Step 2: Convert to fraction form
    15,735.19/21,714.14 = 8,565.24/x
  3. Step 3: Cross multiply
    15,735.19x = 21,714.14 × 8,565.24
  4. Step 4: Simplify right side
    15,735.19x = 185,986,820.49
  5. Step 5: Solve for x
    x = 185,986,820.49/15,735.19
  6. Step 6: Final answer
    x = 11,819.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.