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Finding the Fourth Proportional to 15,856.83, 23,783.85 and 9,615

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Solution

The fourth proportional to 15,856.83, 23,783.85 and 9,615 is: 14,421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.83 : 23,783.85 = 9,615 : x
  2. Step 2: Convert to fraction form
    15,856.83/23,783.85 = 9,615/x
  3. Step 3: Cross multiply
    15,856.83x = 23,783.85 × 9,615
  4. Step 4: Simplify right side
    15,856.83x = 228,681,717.75
  5. Step 5: Solve for x
    x = 228,681,717.75/15,856.83
  6. Step 6: Final answer
    x = 14,421.65

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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.