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Finding the Fourth Proportional to 15,212.96, 22,831.22 and 9,946.55

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Solution

The fourth proportional to 15,212.96, 22,831.22 and 9,946.55 is: 14,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,212.96 : 22,831.22 = 9,946.55 : x
  2. Step 2: Convert to fraction form
    15,212.96/22,831.22 = 9,946.55/x
  3. Step 3: Cross multiply
    15,212.96x = 22,831.22 × 9,946.55
  4. Step 4: Simplify right side
    15,212.96x = 227,091,707.40
  5. Step 5: Solve for x
    x = 227,091,707.40/15,212.96
  6. Step 6: Final answer
    x = 14,927.52

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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.