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Finding the Fourth Proportional to 15,777.72, 23,666.58 and 4,684.64

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Solution

The fourth proportional to 15,777.72, 23,666.58 and 4,684.64 is: 7,026.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.72 : 23,666.58 = 4,684.64 : x
  2. Step 2: Convert to fraction form
    15,777.72/23,666.58 = 4,684.64/x
  3. Step 3: Cross multiply
    15,777.72x = 23,666.58 × 4,684.64
  4. Step 4: Simplify right side
    15,777.72x = 110,869,289.00
  5. Step 5: Solve for x
    x = 110,869,289.00/15,777.72
  6. Step 6: Final answer
    x = 7,026.95

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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.