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Finding the Fourth Proportional to 23,590.30, 32,551.92 and 13,516

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Solution

The fourth proportional to 23,590.30, 32,551.92 and 13,516 is: 18,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,590.30 : 32,551.92 = 13,516 : x
  2. Step 2: Convert to fraction form
    23,590.30/32,551.92 = 13,516/x
  3. Step 3: Cross multiply
    23,590.30x = 32,551.92 × 13,516
  4. Step 4: Simplify right side
    23,590.30x = 439,971,750.72
  5. Step 5: Solve for x
    x = 439,971,750.72/23,590.30
  6. Step 6: Final answer
    x = 18,650.54

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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.