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Finding the Fourth Proportional to 15,984.96, 22,062.12 and 10,021.80

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Solution

The fourth proportional to 15,984.96, 22,062.12 and 10,021.80 is: 13,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984.96 : 22,062.12 = 10,021.80 : x
  2. Step 2: Convert to fraction form
    15,984.96/22,062.12 = 10,021.80/x
  3. Step 3: Cross multiply
    15,984.96x = 22,062.12 × 10,021.80
  4. Step 4: Simplify right side
    15,984.96x = 221,102,154.22
  5. Step 5: Solve for x
    x = 221,102,154.22/15,984.96
  6. Step 6: Final answer
    x = 13,831.89

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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.