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Finding the Fourth Proportional to 15,903.48, 23,861.96 and 8,506

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Solution

The fourth proportional to 15,903.48, 23,861.96 and 8,506 is: 12,762.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,903.48 : 23,861.96 = 8,506 : x
  2. Step 2: Convert to fraction form
    15,903.48/23,861.96 = 8,506/x
  3. Step 3: Cross multiply
    15,903.48x = 23,861.96 × 8,506
  4. Step 4: Simplify right side
    15,903.48x = 202,969,831.76
  5. Step 5: Solve for x
    x = 202,969,831.76/15,903.48
  6. Step 6: Final answer
    x = 12,762.60

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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.