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Finding the Fourth Proportional to 15,756.29, 23,620.13 and 7,861.22

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Solution

The fourth proportional to 15,756.29, 23,620.13 and 7,861.22 is: 11,784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,756.29 : 23,620.13 = 7,861.22 : x
  2. Step 2: Convert to fraction form
    15,756.29/23,620.13 = 7,861.22/x
  3. Step 3: Cross multiply
    15,756.29x = 23,620.13 × 7,861.22
  4. Step 4: Simplify right side
    15,756.29x = 185,683,038.36
  5. Step 5: Solve for x
    x = 185,683,038.36/15,756.29
  6. Step 6: Final answer
    x = 11,784.69

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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.