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Finding the Fourth Proportional to 15,783.10, 23,674.65 and 9,946.30

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Solution

The fourth proportional to 15,783.10, 23,674.65 and 9,946.30 is: 14,919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.10 : 23,674.65 = 9,946.30 : x
  2. Step 2: Convert to fraction form
    15,783.10/23,674.65 = 9,946.30/x
  3. Step 3: Cross multiply
    15,783.10x = 23,674.65 × 9,946.30
  4. Step 4: Simplify right side
    15,783.10x = 235,475,171.30
  5. Step 5: Solve for x
    x = 235,475,171.30/15,783.10
  6. Step 6: Final answer
    x = 14,919.45

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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.