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Finding the Fourth Proportional to 10,021.84, 13,831.23 and 6,440.65

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Solution

The fourth proportional to 10,021.84, 13,831.23 and 6,440.65 is: 8,888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.84 : 13,831.23 = 6,440.65 : x
  2. Step 2: Convert to fraction form
    10,021.84/13,831.23 = 6,440.65/x
  3. Step 3: Cross multiply
    10,021.84x = 13,831.23 × 6,440.65
  4. Step 4: Simplify right side
    10,021.84x = 89,082,111.50
  5. Step 5: Solve for x
    x = 89,082,111.50/10,021.84
  6. Step 6: Final answer
    x = 8,888.80

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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.