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Finding the Fourth Proportional to 23,525.61, 32,465.40 and 12,770.52

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Solution

The fourth proportional to 23,525.61, 32,465.40 and 12,770.52 is: 17,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,525.61 : 32,465.40 = 12,770.52 : x
  2. Step 2: Convert to fraction form
    23,525.61/32,465.40 = 12,770.52/x
  3. Step 3: Cross multiply
    23,525.61x = 32,465.40 × 12,770.52
  4. Step 4: Simplify right side
    23,525.61x = 414,600,040.01
  5. Step 5: Solve for x
    x = 414,600,040.01/23,525.61
  6. Step 6: Final answer
    x = 17,623.35

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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.