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Finding the Fourth Proportional to 15,783.17, 23,677.97 and 6,423.10

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Solution

The fourth proportional to 15,783.17, 23,677.97 and 6,423.10 is: 9,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.17 : 23,677.97 = 6,423.10 : x
  2. Step 2: Convert to fraction form
    15,783.17/23,677.97 = 6,423.10/x
  3. Step 3: Cross multiply
    15,783.17x = 23,677.97 × 6,423.10
  4. Step 4: Simplify right side
    15,783.17x = 152,085,877.80
  5. Step 5: Solve for x
    x = 152,085,877.80/15,783.17
  6. Step 6: Final answer
    x = 9,635.96

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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.