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Finding the Fourth Proportional to 15,803.36, 21,812.98 and 9,831.47

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Solution

The fourth proportional to 15,803.36, 21,812.98 and 9,831.47 is: 13,570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,803.36 : 21,812.98 = 9,831.47 : x
  2. Step 2: Convert to fraction form
    15,803.36/21,812.98 = 9,831.47/x
  3. Step 3: Cross multiply
    15,803.36x = 21,812.98 × 9,831.47
  4. Step 4: Simplify right side
    15,803.36x = 214,453,543.27
  5. Step 5: Solve for x
    x = 214,453,543.27/15,803.36
  6. Step 6: Final answer
    x = 13,570.12

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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.