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Finding the Fourth Proportional to 15,780.71, 23,662.77 and 4,685.87

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Solution

The fourth proportional to 15,780.71, 23,662.77 and 4,685.87 is: 7,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,780.71 : 23,662.77 = 4,685.87 : x
  2. Step 2: Convert to fraction form
    15,780.71/23,662.77 = 4,685.87/x
  3. Step 3: Cross multiply
    15,780.71x = 23,662.77 × 4,685.87
  4. Step 4: Simplify right side
    15,780.71x = 110,880,664.06
  5. Step 5: Solve for x
    x = 110,880,664.06/15,780.71
  6. Step 6: Final answer
    x = 7,026.34

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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.