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Finding the Fourth Proportional to 23,831.08, 32,882.10 and 14,400.16

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Solution

The fourth proportional to 23,831.08, 32,882.10 and 14,400.16 is: 19,869.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,831.08 : 32,882.10 = 14,400.16 : x
  2. Step 2: Convert to fraction form
    23,831.08/32,882.10 = 14,400.16/x
  3. Step 3: Cross multiply
    23,831.08x = 32,882.10 × 14,400.16
  4. Step 4: Simplify right side
    23,831.08x = 473,507,501.14
  5. Step 5: Solve for x
    x = 473,507,501.14/23,831.08
  6. Step 6: Final answer
    x = 19,869.33

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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.