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Finding the Fourth Proportional to 12,316.32, 16,989.48 and 7,831.08

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Solution

The fourth proportional to 12,316.32, 16,989.48 and 7,831.08 is: 10,802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316.32 : 16,989.48 = 7,831.08 : x
  2. Step 2: Convert to fraction form
    12,316.32/16,989.48 = 7,831.08/x
  3. Step 3: Cross multiply
    12,316.32x = 16,989.48 × 7,831.08
  4. Step 4: Simplify right side
    12,316.32x = 133,045,977.04
  5. Step 5: Solve for x
    x = 133,045,977.04/12,316.32
  6. Step 6: Final answer
    x = 10,802.41

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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.