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Finding the Fourth Proportional to 23,462.40, 32,378.58 and 12,852.05

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Solution

The fourth proportional to 23,462.40, 32,378.58 and 12,852.05 is: 17,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,462.40 : 32,378.58 = 12,852.05 : x
  2. Step 2: Convert to fraction form
    23,462.40/32,378.58 = 12,852.05/x
  3. Step 3: Cross multiply
    23,462.40x = 32,378.58 × 12,852.05
  4. Step 4: Simplify right side
    23,462.40x = 416,130,967.20
  5. Step 5: Solve for x
    x = 416,130,967.20/23,462.40
  6. Step 6: Final answer
    x = 17,736.08

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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.