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Finding the Fourth Proportional to 23,205.88, 32,024.17 and 12,595.51

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Solution

The fourth proportional to 23,205.88, 32,024.17 and 12,595.51 is: 17,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.88 : 32,024.17 = 12,595.51 : x
  2. Step 2: Convert to fraction form
    23,205.88/32,024.17 = 12,595.51/x
  3. Step 3: Cross multiply
    23,205.88x = 32,024.17 × 12,595.51
  4. Step 4: Simplify right side
    23,205.88x = 403,360,840.74
  5. Step 5: Solve for x
    x = 403,360,840.74/23,205.88
  6. Step 6: Final answer
    x = 17,381.84

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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.