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Finding the Fourth Proportional to 23,684.40, 32,689.44 and 14,258.16

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Solution

The fourth proportional to 23,684.40, 32,689.44 and 14,258.16 is: 19,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684.40 : 32,689.44 = 14,258.16 : x
  2. Step 2: Convert to fraction form
    23,684.40/32,689.44 = 14,258.16/x
  3. Step 3: Cross multiply
    23,684.40x = 32,689.44 × 14,258.16
  4. Step 4: Simplify right side
    23,684.40x = 466,091,265.83
  5. Step 5: Solve for x
    x = 466,091,265.83/23,684.40
  6. Step 6: Final answer
    x = 19,679.25

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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.