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Finding the Fourth Proportional to 15,780.88, 21,778.32 and 9,068.68

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Solution

The fourth proportional to 15,780.88, 21,778.32 and 9,068.68 is: 12,515.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,780.88 : 21,778.32 = 9,068.68 : x
  2. Step 2: Convert to fraction form
    15,780.88/21,778.32 = 9,068.68/x
  3. Step 3: Cross multiply
    15,780.88x = 21,778.32 × 9,068.68
  4. Step 4: Simplify right side
    15,780.88x = 197,500,615.02
  5. Step 5: Solve for x
    x = 197,500,615.02/15,780.88
  6. Step 6: Final answer
    x = 12,515.18

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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.