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Finding the Fourth Proportional to 23,197.56, 32,012.72 and 12,587.28

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Solution

The fourth proportional to 23,197.56, 32,012.72 and 12,587.28 is: 17,370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,197.56 : 32,012.72 = 12,587.28 : x
  2. Step 2: Convert to fraction form
    23,197.56/32,012.72 = 12,587.28/x
  3. Step 3: Cross multiply
    23,197.56x = 32,012.72 × 12,587.28
  4. Step 4: Simplify right side
    23,197.56x = 402,953,070.20
  5. Step 5: Solve for x
    x = 402,953,070.20/23,197.56
  6. Step 6: Final answer
    x = 17,370.49

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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.