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Finding the Fourth Proportional to 21,831.25, 30,127.13 and 11,895.25

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Solution

The fourth proportional to 21,831.25, 30,127.13 and 11,895.25 is: 16,415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,831.25 : 30,127.13 = 11,895.25 : x
  2. Step 2: Convert to fraction form
    21,831.25/30,127.13 = 11,895.25/x
  3. Step 3: Cross multiply
    21,831.25x = 30,127.13 × 11,895.25
  4. Step 4: Simplify right side
    21,831.25x = 358,369,743.13
  5. Step 5: Solve for x
    x = 358,369,743.13/21,831.25
  6. Step 6: Final answer
    x = 16,415.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.