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Finding the Fourth Proportional to 13,156.90, 19,735.95 and 7,309.10

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Solution

The fourth proportional to 13,156.90, 19,735.95 and 7,309.10 is: 10,963.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156.90 : 19,735.95 = 7,309.10 : x
  2. Step 2: Convert to fraction form
    13,156.90/19,735.95 = 7,309.10/x
  3. Step 3: Cross multiply
    13,156.90x = 19,735.95 × 7,309.10
  4. Step 4: Simplify right side
    13,156.90x = 144,252,108.89
  5. Step 5: Solve for x
    x = 144,252,108.89/13,156.90
  6. Step 6: Final answer
    x = 10,963.99

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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.