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Finding the Fourth Proportional to 25,706.22, 35,466.51 and 14,374.18

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Solution

The fourth proportional to 25,706.22, 35,466.51 and 14,374.18 is: 19,831.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,706.22 : 35,466.51 = 14,374.18 : x
  2. Step 2: Convert to fraction form
    25,706.22/35,466.51 = 14,374.18/x
  3. Step 3: Cross multiply
    25,706.22x = 35,466.51 × 14,374.18
  4. Step 4: Simplify right side
    25,706.22x = 509,802,016.09
  5. Step 5: Solve for x
    x = 509,802,016.09/25,706.22
  6. Step 6: Final answer
    x = 19,831.86

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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.