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Finding the Fourth Proportional to 15,734.76, 23,602.32 and 4,047.64

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Solution

The fourth proportional to 15,734.76, 23,602.32 and 4,047.64 is: 6,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.76 : 23,602.32 = 4,047.64 : x
  2. Step 2: Convert to fraction form
    15,734.76/23,602.32 = 4,047.64/x
  3. Step 3: Cross multiply
    15,734.76x = 23,602.32 × 4,047.64
  4. Step 4: Simplify right side
    15,734.76x = 95,533,694.52
  5. Step 5: Solve for x
    x = 95,533,694.52/15,734.76
  6. Step 6: Final answer
    x = 6,071.51

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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.