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Finding the Fourth Proportional to 15,803.58, 21,813.28 and 9,831.69

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Solution

The fourth proportional to 15,803.58, 21,813.28 and 9,831.69 is: 13,570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,803.58 : 21,813.28 = 9,831.69 : x
  2. Step 2: Convert to fraction form
    15,803.58/21,813.28 = 9,831.69/x
  3. Step 3: Cross multiply
    15,803.58x = 21,813.28 × 9,831.69
  4. Step 4: Simplify right side
    15,803.58x = 214,461,297.78
  5. Step 5: Solve for x
    x = 214,461,297.78/15,803.58
  6. Step 6: Final answer
    x = 13,570.43

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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.