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Finding the Fourth Proportional to 10,833.30, 14,905.41 and 10,142.10

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Solution

The fourth proportional to 10,833.30, 14,905.41 and 10,142.10 is: 13,954.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.30 : 14,905.41 = 10,142.10 : x
  2. Step 2: Convert to fraction form
    10,833.30/14,905.41 = 10,142.10/x
  3. Step 3: Cross multiply
    10,833.30x = 14,905.41 × 10,142.10
  4. Step 4: Simplify right side
    10,833.30x = 151,172,158.76
  5. Step 5: Solve for x
    x = 151,172,158.76/10,833.30
  6. Step 6: Final answer
    x = 13,954.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.