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Finding the Fourth Proportional to 23,720.58, 32,728.47 and 13,509.30

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Solution

The fourth proportional to 23,720.58, 32,728.47 and 13,509.30 is: 18,639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,720.58 : 32,728.47 = 13,509.30 : x
  2. Step 2: Convert to fraction form
    23,720.58/32,728.47 = 13,509.30/x
  3. Step 3: Cross multiply
    23,720.58x = 32,728.47 × 13,509.30
  4. Step 4: Simplify right side
    23,720.58x = 442,138,719.77
  5. Step 5: Solve for x
    x = 442,138,719.77/23,720.58
  6. Step 6: Final answer
    x = 18,639.46

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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.