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Finding the Fourth Proportional to 23,255.68, 32,038.80 and 16,078.72

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Solution

The fourth proportional to 23,255.68, 32,038.80 and 16,078.72 is: 22,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,255.68 : 32,038.80 = 16,078.72 : x
  2. Step 2: Convert to fraction form
    23,255.68/32,038.80 = 16,078.72/x
  3. Step 3: Cross multiply
    23,255.68x = 32,038.80 × 16,078.72
  4. Step 4: Simplify right side
    23,255.68x = 515,142,894.34
  5. Step 5: Solve for x
    x = 515,142,894.34/23,255.68
  6. Step 6: Final answer
    x = 22,151.27

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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.