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Finding the Fourth Proportional to 11,831.04, 16,395.84 and 11,664

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Solution

The fourth proportional to 11,831.04, 16,395.84 and 11,664 is: 16,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.04 : 16,395.84 = 11,664 : x
  2. Step 2: Convert to fraction form
    11,831.04/16,395.84 = 11,664/x
  3. Step 3: Cross multiply
    11,831.04x = 16,395.84 × 11,664
  4. Step 4: Simplify right side
    11,831.04x = 191,241,077.76
  5. Step 5: Solve for x
    x = 191,241,077.76/11,831.04
  6. Step 6: Final answer
    x = 16,164.35

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.