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Finding the Fourth Proportional to 15,802.89, 21,812.18 and 9,831.17

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Solution

The fourth proportional to 15,802.89, 21,812.18 and 9,831.17 is: 13,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.89 : 21,812.18 = 9,831.17 : x
  2. Step 2: Convert to fraction form
    15,802.89/21,812.18 = 9,831.17/x
  3. Step 3: Cross multiply
    15,802.89x = 21,812.18 × 9,831.17
  4. Step 4: Simplify right side
    15,802.89x = 214,439,219.70
  5. Step 5: Solve for x
    x = 214,439,219.70/15,802.89
  6. Step 6: Final answer
    x = 13,569.62

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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.