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Finding the Fourth Proportional to 15,780.29, 21,776.65 and 8,706.76

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Solution

The fourth proportional to 15,780.29, 21,776.65 and 8,706.76 is: 12,015.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,780.29 : 21,776.65 = 8,706.76 : x
  2. Step 2: Convert to fraction form
    15,780.29/21,776.65 = 8,706.76/x
  3. Step 3: Cross multiply
    15,780.29x = 21,776.65 × 8,706.76
  4. Step 4: Simplify right side
    15,780.29x = 189,603,988.95
  5. Step 5: Solve for x
    x = 189,603,988.95/15,780.29
  6. Step 6: Final answer
    x = 12,015.24

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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.