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Finding the Fourth Proportional to 10,235.30, 15,340.80 and 9,190.40

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Solution

The fourth proportional to 10,235.30, 15,340.80 and 9,190.40 is: 13,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.30 : 15,340.80 = 9,190.40 : x
  2. Step 2: Convert to fraction form
    10,235.30/15,340.80 = 9,190.40/x
  3. Step 3: Cross multiply
    10,235.30x = 15,340.80 × 9,190.40
  4. Step 4: Simplify right side
    10,235.30x = 140,988,088.32
  5. Step 5: Solve for x
    x = 140,988,088.32/10,235.30
  6. Step 6: Final answer
    x = 13,774.69

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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.