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Finding the Fourth Proportional to 23,071.91, 34,594.16 and 9,025.88

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Solution

The fourth proportional to 23,071.91, 34,594.16 and 9,025.88 is: 13,533.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,071.91 : 34,594.16 = 9,025.88 : x
  2. Step 2: Convert to fraction form
    23,071.91/34,594.16 = 9,025.88/x
  3. Step 3: Cross multiply
    23,071.91x = 34,594.16 × 9,025.88
  4. Step 4: Simplify right side
    23,071.91x = 312,242,518.76
  5. Step 5: Solve for x
    x = 312,242,518.76/23,071.91
  6. Step 6: Final answer
    x = 13,533.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.