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Finding the Fourth Proportional to 23,658, 32,648.28 and 14,226.72

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Solution

The fourth proportional to 23,658, 32,648.28 and 14,226.72 is: 19,633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658 : 32,648.28 = 14,226.72 : x
  2. Step 2: Convert to fraction form
    23,658/32,648.28 = 14,226.72/x
  3. Step 3: Cross multiply
    23,658x = 32,648.28 × 14,226.72
  4. Step 4: Simplify right side
    23,658x = 464,477,938.04
  5. Step 5: Solve for x
    x = 464,477,938.04/23,658
  6. Step 6: Final answer
    x = 19,633.02

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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.