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Finding the Fourth Proportional to 10,902.30, 16,353.45 and 10,100.40

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Solution

The fourth proportional to 10,902.30, 16,353.45 and 10,100.40 is: 15,150.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.30 : 16,353.45 = 10,100.40 : x
  2. Step 2: Convert to fraction form
    10,902.30/16,353.45 = 10,100.40/x
  3. Step 3: Cross multiply
    10,902.30x = 16,353.45 × 10,100.40
  4. Step 4: Simplify right side
    10,902.30x = 165,176,386.38
  5. Step 5: Solve for x
    x = 165,176,386.38/10,902.30
  6. Step 6: Final answer
    x = 15,150.60

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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.