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Finding the Fourth Proportional to 13,875.17, 19,143.06 and 7,902.61

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Solution

The fourth proportional to 13,875.17, 19,143.06 and 7,902.61 is: 10,902.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.17 : 19,143.06 = 7,902.61 : x
  2. Step 2: Convert to fraction form
    13,875.17/19,143.06 = 7,902.61/x
  3. Step 3: Cross multiply
    13,875.17x = 19,143.06 × 7,902.61
  4. Step 4: Simplify right side
    13,875.17x = 151,280,189.80
  5. Step 5: Solve for x
    x = 151,280,189.80/13,875.17
  6. Step 6: Final answer
    x = 10,902.94

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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.