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Finding the Fourth Proportional to 23,258.56, 32,083.68 and 13,830.16

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Solution

The fourth proportional to 23,258.56, 32,083.68 and 13,830.16 is: 19,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258.56 : 32,083.68 = 13,830.16 : x
  2. Step 2: Convert to fraction form
    23,258.56/32,083.68 = 13,830.16/x
  3. Step 3: Cross multiply
    23,258.56x = 32,083.68 × 13,830.16
  4. Step 4: Simplify right side
    23,258.56x = 443,722,427.79
  5. Step 5: Solve for x
    x = 443,722,427.79/23,258.56
  6. Step 6: Final answer
    x = 19,077.81

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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.