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Finding the Fourth Proportional to 18,549.47, 27,831.32 and 11,159.16

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Solution

The fourth proportional to 18,549.47, 27,831.32 and 11,159.16 is: 16,743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549.47 : 27,831.32 = 11,159.16 : x
  2. Step 2: Convert to fraction form
    18,549.47/27,831.32 = 11,159.16/x
  3. Step 3: Cross multiply
    18,549.47x = 27,831.32 × 11,159.16
  4. Step 4: Simplify right side
    18,549.47x = 310,574,097.10
  5. Step 5: Solve for x
    x = 310,574,097.10/18,549.47
  6. Step 6: Final answer
    x = 16,743.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.