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Finding the Fourth Proportional to 15,783.16, 23,679.06 and 4,689.64

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Solution

The fourth proportional to 15,783.16, 23,679.06 and 4,689.64 is: 7,035.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.16 : 23,679.06 = 4,689.64 : x
  2. Step 2: Convert to fraction form
    15,783.16/23,679.06 = 4,689.64/x
  3. Step 3: Cross multiply
    15,783.16x = 23,679.06 × 4,689.64
  4. Step 4: Simplify right side
    15,783.16x = 111,046,266.94
  5. Step 5: Solve for x
    x = 111,046,266.94/15,783.16
  6. Step 6: Final answer
    x = 7,035.74

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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.