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Finding the Fourth Proportional to 15,641.70, 23,461.93 and 5,780.76

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Solution

The fourth proportional to 15,641.70, 23,461.93 and 5,780.76 is: 8,670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,641.70 : 23,461.93 = 5,780.76 : x
  2. Step 2: Convert to fraction form
    15,641.70/23,461.93 = 5,780.76/x
  3. Step 3: Cross multiply
    15,641.70x = 23,461.93 × 5,780.76
  4. Step 4: Simplify right side
    15,641.70x = 135,627,786.47
  5. Step 5: Solve for x
    x = 135,627,786.47/15,641.70
  6. Step 6: Final answer
    x = 8,670.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.