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Finding the Fourth Proportional to 23,525.70, 32,465.98 and 13,455.06

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Solution

The fourth proportional to 23,525.70, 32,465.98 and 13,455.06 is: 18,568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,525.70 : 32,465.98 = 13,455.06 : x
  2. Step 2: Convert to fraction form
    23,525.70/32,465.98 = 13,455.06/x
  3. Step 3: Cross multiply
    23,525.70x = 32,465.98 × 13,455.06
  4. Step 4: Simplify right side
    23,525.70x = 436,831,708.86
  5. Step 5: Solve for x
    x = 436,831,708.86/23,525.70
  6. Step 6: Final answer
    x = 18,568.28

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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.