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Finding the Fourth Proportional to 14,608.40, 21,898.20 and 5,831.60

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Solution

The fourth proportional to 14,608.40, 21,898.20 and 5,831.60 is: 8,741.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,608.40 : 21,898.20 = 5,831.60 : x
  2. Step 2: Convert to fraction form
    14,608.40/21,898.20 = 5,831.60/x
  3. Step 3: Cross multiply
    14,608.40x = 21,898.20 × 5,831.60
  4. Step 4: Simplify right side
    14,608.40x = 127,701,543.12
  5. Step 5: Solve for x
    x = 127,701,543.12/14,608.40
  6. Step 6: Final answer
    x = 8,741.65

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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.