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Finding the Fourth Proportional to 15,873.17, 23,783.78 and 9,614.21

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Solution

The fourth proportional to 15,873.17, 23,783.78 and 9,614.21 is: 14,405.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,873.17 : 23,783.78 = 9,614.21 : x
  2. Step 2: Convert to fraction form
    15,873.17/23,783.78 = 9,614.21/x
  3. Step 3: Cross multiply
    15,873.17x = 23,783.78 × 9,614.21
  4. Step 4: Simplify right side
    15,873.17x = 228,662,160.63
  5. Step 5: Solve for x
    x = 228,662,160.63/15,873.17
  6. Step 6: Final answer
    x = 14,405.58

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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.