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Finding the Fourth Proportional to 10,123.30, 15,184.95 and 9,783.10

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Solution

The fourth proportional to 10,123.30, 15,184.95 and 9,783.10 is: 14,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.30 : 15,184.95 = 9,783.10 : x
  2. Step 2: Convert to fraction form
    10,123.30/15,184.95 = 9,783.10/x
  3. Step 3: Cross multiply
    10,123.30x = 15,184.95 × 9,783.10
  4. Step 4: Simplify right side
    10,123.30x = 148,555,884.35
  5. Step 5: Solve for x
    x = 148,555,884.35/10,123.30
  6. Step 6: Final answer
    x = 14,674.65

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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.