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Finding the Fourth Proportional to 25,812.64, 35,632.29 and 21,854.26

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Solution

The fourth proportional to 25,812.64, 35,632.29 and 21,854.26 is: 30,168.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,812.64 : 35,632.29 = 21,854.26 : x
  2. Step 2: Convert to fraction form
    25,812.64/35,632.29 = 21,854.26/x
  3. Step 3: Cross multiply
    25,812.64x = 35,632.29 × 21,854.26
  4. Step 4: Simplify right side
    25,812.64x = 778,717,330.06
  5. Step 5: Solve for x
    x = 778,717,330.06/25,812.64
  6. Step 6: Final answer
    x = 30,168.06

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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.