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Finding the Fourth Proportional to 12,905.78, 17,820.01 and 9,916.90

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Solution

The fourth proportional to 12,905.78, 17,820.01 and 9,916.90 is: 13,693.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.78 : 17,820.01 = 9,916.90 : x
  2. Step 2: Convert to fraction form
    12,905.78/17,820.01 = 9,916.90/x
  3. Step 3: Cross multiply
    12,905.78x = 17,820.01 × 9,916.90
  4. Step 4: Simplify right side
    12,905.78x = 176,719,257.17
  5. Step 5: Solve for x
    x = 176,719,257.17/12,905.78
  6. Step 6: Final answer
    x = 13,693.03

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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.